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Flemisch, Bernd

Bernd Flemisch

apl. Prof. Dr. rer. nat.

Professor for "Simulation Technology"
Institute for Modelling Hydraulic and Environmental Systems
Department of Hydromechanics and Modelling of Hydrosystems

Contact

+49 711 685 69162
+4971168560430
Email
Website
Business card (VCF)

Pfaffenwaldring 61
70569 Stuttgart
Germany
Room: 1.012

Office Hours

By appointment only

Teaching

Anwendungen zu Numerische Methoden der Fluidmechanik Vorlesung Übung
C++-Kurs für SimTech Vorlesung
Modeling of Hydrosystems and Hydroinformatics Vorlesung Übung

Vita

Abitur

June 1994 in Augsburg, Holbein-Gymnasium (Germany)

Training Period

1994-1996: Banker, Stadtsparkasse Augsburg

Academic Degrees

2001: M.Sc. in Mathematics, Iowa State University (USA)
2006: Doctoral Degree (Dr. rer. nat.), University of Stuttgart (Germany)
2013: Habilitation (Dr. rer. nat. habil.), University of Stuttgart (Germany)

Academic Career

2001-2006: Doctoral Researcher, Institute of Applied Analysis and Numerical Simulation, University of Stuttgart (Germany)
since 2007: Researcher, Institute for Modelling Hydraulic and Environmental Systems, University of Stuttgart (Germany)
since 2012: Appointment as "außerplanmäßiger Professor", Institute for Modelling Hydraulic and Environmental Systems, University of Stuttgart (Germany)

Main research subject

Discretization, solvers and research software

Current Internal and External Activities

since 2019: Member of the steering group and co-spokesperson of the NFDI consortium „National Research Data Infrastructure for Engineering Sciences (NFDI4Ing)”
since 2019: Participating researcher in the EXC 2075, member of the committee “Research Data and Software Management”
since 2018: Principal investigator in the CRC 1313, member of the task force “Software and Data”
since 2016: Member of the “Stuttgart Center for Simulation Science” (SC SimTech)

Publikations

(Journal-) Articles
1. Kelm, M., Gärttner, S., Bringedal, C., Flemisch, B., Knabner, P., & Ray, N. (2022). Comparison study of phase-field and level-set method for three-phase systems including two minerals. Computational Geosciences, 26(3), 545--570. https://doi.org/10.1007/s10596-022-10142-w
  Abstract
  We investigate reactive flow and transport in evolving porous media. Solute species that are transported within the fluid phase are taking part in mineral precipitation and dissolution reactions for two competing mineral phases. The evolution of the three phases is not known a-priori but depends on the concentration of the dissolved solute species. To model the coupled behavior, phase-field and level-set models are formulated. These formulations are compared in three increasingly challenging setups including significant mineral overgrowth. Simulation outcomes are examined with respect to mineral volumes and surface areas as well as derived effective quantities such as diffusion and permeability tensors. In doing so, we extend the results of current benchmarks for mineral dissolution/precipitation at the pore-scale to the multiphasic solid case. Both approaches are found to be able to simulate the evolution of the three-phase system, but the phase-field model is influenced by curvature-driven motion.
  BibTeX
  @article{kelm_comparison_2022, abstract = {We investigate reactive flow and transport in evolving porous media. Solute species that are transported within the fluid phase are taking part in mineral precipitation and dissolution reactions for two competing mineral phases. The evolution of the three phases is not known a-priori but depends on the concentration of the dissolved solute species. To model the coupled behavior, phase-field and level-set models are formulated. These formulations are compared in three increasingly challenging setups including significant mineral overgrowth. Simulation outcomes are examined with respect to mineral volumes and surface areas as well as derived effective quantities such as diffusion and permeability tensors. In doing so, we extend the results of current benchmarks for mineral dissolution/precipitation at the pore-scale to the multiphasic solid case. Both approaches are found to be able to simulate the evolution of the three-phase system, but the phase-field model is influenced by curvature-driven motion.}, author = {Kelm, Mathis and Gärttner, Stephan and Bringedal, Carina and Flemisch, Bernd and Knabner, Peter and Ray, Nadja}, doi = {10.1007/s10596-022-10142-w}, issn = {1573-1499}, journal = {Computational Geosciences}, language = {en}, month = {06}, number = 3, pages = {545--570}, title = {Comparison study of phase-field and level-set method for three-phase systems including two minerals}, url = {https://doi.org/10.1007/s10596-022-10142-w}, urldate = {2022-07-08}, volume = 26, year = 2022 }
  Link
  https://doi.org/10.1007/s10596-022-10142-w
2. Gläser, D., Schneider, M., Flemisch, B., & Helmig, R. (2022). Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media. Journal of Computational Physics, 448, 110715. https://doi.org/10.1016/j.jcp.2021.110715
  Abstract
  Flow in fractured porous media is of high relevance in a variety of geotechnical applications, given the fact that they ubiquitously occur in nature and that they can have a substantial impact on the hydraulic properties of rock. As a response to this, an active field of research has developed over the past decades, focusing on the development of mathematical models and numerical methods to describe and simulate the flow processes in fractured rock. In this work, we present a comparison of different finite volume-based numerical schemes for the simulation of flow in fractured porous media by means of numerical experiments. Two novel vertex-centered approaches are presented and compared to well-established numerical schemes in terms of convergence behavior and their performance on benchmark studies taken from the literature. The new schemes show to produce results that are in good agreement with those of established methods while leading to less degrees of freedom on unstructured simplex grids.
  BibTeX
  @article{paper-2021-glaeser-boxdfm, abstract = {Flow in fractured porous media is of high relevance in a variety of geotechnical applications, given the fact that they ubiquitously occur in nature and that they can have a substantial impact on the hydraulic properties of rock. As a response to this, an active field of research has developed over the past decades, focusing on the development of mathematical models and numerical methods to describe and simulate the flow processes in fractured rock. In this work, we present a comparison of different finite volume-based numerical schemes for the simulation of flow in fractured porous media by means of numerical experiments. Two novel vertex-centered approaches are presented and compared to well-established numerical schemes in terms of convergence behavior and their performance on benchmark studies taken from the literature. The new schemes show to produce results that are in good agreement with those of established methods while leading to less degrees of freedom on unstructured simplex grids.}, author = {Gläser, Dennis and Schneider, Martin and Flemisch, Bernd and Helmig, Rainer}, doi = {https://doi.org/10.1016/j.jcp.2021.110715}, journal = {Journal of Computational Physics}, month = {01}, pages = 110715, publisher = {Elsevier {BV}}, title = {Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media}, url = {https://www.sciencedirect.com/science/article/pii/S0021999121006100}, volume = 448, year = 2022 }
  Link
  https://www.sciencedirect.com/science/article/pii/S0021999121006100
3. Scheurer, S., Schäfer Rodrigues Silva, A., Mohammadi, F., Hommel, J., Oladyshkin, S., Flemisch, B., & Nowak, W. (2021). Surrogate-based Bayesian comparison of computationally expensive models: application to microbially induced calcite precipitation. Computational Geosciences. https://doi.org/10.1007/s10596-021-10076-9
  Abstract
  Geochemical processes in subsurface reservoirs affected by microbial activity change the material properties of porous media. This is a complex biogeochemical process in subsurface reservoirs that currently contains strong conceptual uncertainty. This means, several modeling approaches describing the biogeochemical process are plausible and modelers face the uncertainty of choosing the most appropriate one. The considered models differ in the underlying hypotheses about the process structure. Once observation data become available, a rigorous Bayesian model selection accompanied by a Bayesian model justifiability analysis could be employed to choose the most appropriate model, i.e. the one that describes the underlying physical processes best in the light of the available data. However, biogeochemical modeling is computationally very demanding because it conceptualizes different phases, biomass dynamics, geochemistry, precipitation and dissolution in porous media. Therefore, the Bayesian framework cannot be based directly on the full computational models as this would require too many expensive model evaluations. To circumvent this problem, we suggest to perform both Bayesian model selection and justifiability analysis after constructing surrogates for the competing biogeochemical models. Here, we will use the arbitrary polynomial chaos expansion. Considering that surrogate representations are only approximations of the analyzed original models, we account for the approximation error in the Bayesian analysis by introducing novel correction factors for the resulting model weights. Thereby, we extend the Bayesian model justifiability analysis and assess model similarities for computationally expensive models. We demonstrate the method on a representative scenario for microbially induced calcite precipitation in a porous medium. Our extension of the justifiability analysis provides a suitable approach for the comparison of computationally demanding models and gives an insight on the necessary amount of data for a reliable model performance.
  BibTeX
  @article{scheurer_surrogate-based_2021, abstract = {Geochemical processes in subsurface reservoirs affected by microbial activity change the material properties of porous media. This is a complex biogeochemical process in subsurface reservoirs that currently contains strong conceptual uncertainty. This means, several modeling approaches describing the biogeochemical process are plausible and modelers face the uncertainty of choosing the most appropriate one. The considered models differ in the underlying hypotheses about the process structure. Once observation data become available, a rigorous Bayesian model selection accompanied by a Bayesian model justifiability analysis could be employed to choose the most appropriate model, i.e. the one that describes the underlying physical processes best in the light of the available data. However, biogeochemical modeling is computationally very demanding because it conceptualizes different phases, biomass dynamics, geochemistry, precipitation and dissolution in porous media. Therefore, the Bayesian framework cannot be based directly on the full computational models as this would require too many expensive model evaluations. To circumvent this problem, we suggest to perform both Bayesian model selection and justifiability analysis after constructing surrogates for the competing biogeochemical models. Here, we will use the arbitrary polynomial chaos expansion. Considering that surrogate representations are only approximations of the analyzed original models, we account for the approximation error in the Bayesian analysis by introducing novel correction factors for the resulting model weights. Thereby, we extend the Bayesian model justifiability analysis and assess model similarities for computationally expensive models. We demonstrate the method on a representative scenario for microbially induced calcite precipitation in a porous medium. Our extension of the justifiability analysis provides a suitable approach for the comparison of computationally demanding models and gives an insight on the necessary amount of data for a reliable model performance.}, author = {Scheurer, Stefania and Schäfer Rodrigues Silva, Aline and Mohammadi, Farid and Hommel, Johannes and Oladyshkin, Sergey and Flemisch, Bernd and Nowak, Wolfgang}, doi = {10.1007/s10596-021-10076-9}, issn = {1573-1499}, journal = {Computational Geosciences}, month = {08}, publisher = {Springer Science and Business Media {LLC}}, title = {Surrogate-based Bayesian comparison of computationally expensive models: application to microbially induced calcite precipitation}, url = {https://doi.org/10.1007/s10596-021-10076-9}, year = 2021 }
  Link
  https://doi.org/10.1007/s10596-021-10076-9
4. Kurgyis, K., Hommel, J., Flemisch, B., Helmig, R., & Ott, H. (2021). Explicit continuum scale modeling of low-salinity mechanisms. Journal of Petroleum Science and Engineering, 199, 108336. https://doi.org/10.1016/j.petrol.2020.108336
  Abstract
  Understanding the influence of injection water composition on the displacement efficiency has been a long-standing issue in reservoir engineering; a reduction of the injection water salinity can lead to additional oil production, which is considered a low-cost and environmentally friendly method for enhanced oil recovery. Several underlying chemical mechanisms have been identified; however, the identification of the governing mechanisms remains difficult and specific to the chemical setting of the reservoir and injection water composition. In this work, we implement two potential mechanisms, namely, double layer expansion and multicomponent ion exchange, to achieve an explicit description of low-salinity effects in the open-source continuum-scale flow simulator DuMuX, with the goal of designing and interpreting experiments, and upscaling the results. By assuming sets of input parameters, we show that there is a minimum required core length dependent on the dispersion of the chemical flooding front dominated by sample heterogeneity. Above this length scale, the saturation profile is fully developed, and the chemical effluent analysis is conclusive, which both is required to calibrate continuum scale models. The change in the chemical water composition shows a characteristic fingerprint for both investigated mechanisms and therefore allows the identification of the leading low-salinity mechanism. The model is publicly available.
  BibTeX
  @article{KURGYIS2021108336, abstract = {Understanding the influence of injection water composition on the displacement efficiency has been a long-standing issue in reservoir engineering; a reduction of the injection water salinity can lead to additional oil production, which is considered a low-cost and environmentally friendly method for enhanced oil recovery. Several underlying chemical mechanisms have been identified; however, the identification of the governing mechanisms remains difficult and specific to the chemical setting of the reservoir and injection water composition. In this work, we implement two potential mechanisms, namely, double layer expansion and multicomponent ion exchange, to achieve an explicit description of low-salinity effects in the open-source continuum-scale flow simulator DuMuX, with the goal of designing and interpreting experiments, and upscaling the results. By assuming sets of input parameters, we show that there is a minimum required core length dependent on the dispersion of the chemical flooding front dominated by sample heterogeneity. Above this length scale, the saturation profile is fully developed, and the chemical effluent analysis is conclusive, which both is required to calibrate continuum scale models. The change in the chemical water composition shows a characteristic fingerprint for both investigated mechanisms and therefore allows the identification of the leading low-salinity mechanism. The model is publicly available.}, author = {Kurgyis, Kata and Hommel, Johannes and Flemisch, Bernd and Helmig, Rainer and Ott, Holger}, doi = {10.1016/j.petrol.2020.108336}, issn = {0920-4105}, journal = {Journal of Petroleum Science and Engineering}, month = {04}, pages = 108336, publisher = {Elsevier {BV}}, title = {Explicit continuum scale modeling of low-salinity mechanisms}, url = {http://www.sciencedirect.com/science/article/pii/S0920410520313905}, volume = 199, year = 2021 }
  Link
  http://www.sciencedirect.com/science/article/pii/S0920410520313905
5. Anzt, H., Bach, F., Druskat, S., Löffler, F., Loewe, A., Renard, B., Seemann, G., Struck, A., Achhammer, E., Aggarwal, P., Appel, F., Bader, M., Brusch, L., Busse, C., Chourdakis, G., Dabrowski, P., Ebert, P., Flemisch, B., Friedl, S., … Weeber, R. (2021). An environment for sustainable research software in Germany and beyond: current state, open challenges, and call for action version 2; peer review: 2 approved. F1000Research, 9(295), Article 295. https://doi.org/10.12688/f1000research.23224.2
  - BibTeX
  BibTeX
  @article{10.12688/f1000research.23224.2, author = {Anzt, H and Bach, F and Druskat, S and Löffler, F and Loewe, A and Renard, BY and Seemann, G and Struck, A and Achhammer, E and Aggarwal, P and Appel, F and Bader, M and Brusch, L and Busse, C and Chourdakis, G and Dabrowski, PW and Ebert, P and Flemisch, B and Friedl, S and Fritzsch, B and Funk, MD and Gast, V and Goth, F and Grad, JN and Hegewald, J and Hermann, S and Hohmann, F and Janosch, S and Kutra, D and Linxweiler, J and Muth, T and Peters-Kottig, W and Rack, F and Raters, FHC and Rave, S and Reina, G and Reißig, M and Ropinski, T and Schaarschmidt, J and Seibold, H and Thiele, JP and Uekermann, B and Unger, S and Weeber, R}, doi = {10.12688/f1000research.23224.2}, journal = {F1000Research}, month = {01}, number = 295, title = {An environment for sustainable research software in Germany and beyond: current state, open challenges, and call for action [version 2; peer review: 2 approved] }, volume = 9, year = 2021 }
6. Koch, T., Gläser, D., Weishaupt, K., Ackermann, S., Beck, M., Becker, B., Burbulla, S., Class, H., Coltman, E., Emmert, S., Fetzer, T., Grüninger, C., Heck, K., Hommel, J., Kurz, T., Lipp, M., Mohammadi, F., Scherrer, S., Schneider, M., … Flemisch, B. (2021). DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling. Computers & Mathematics with Applications. https://doi.org/10.1016/j.camwa.2020.02.012
  Abstract
  We present version 3 of the open-source simulator for flow and transport processes in porous media DuMux. DuMux is based on the modular C++ framework Dune (Distributed and Unified Numerics Environment) and is developed as a research code with a focus on modularity and reusability. We describe recent efforts in improving the transparency and efficiency of the development process and community-building, as well as efforts towards quality assurance and reproducible research. In addition to a major redesign of many simulation components in order to facilitate setting up complex simulations in DuMux, version 3 introduces a more consistent abstraction of finite volume schemes. Finally, the new framework for multi-domain simulations is described, and three numerical examples demonstrate its flexibility.
  BibTeX
  @article{Version3Dumux, abstract = {We present version 3 of the open-source simulator for flow and transport processes in porous media DuMux. DuMux is based on the modular C++ framework Dune (Distributed and Unified Numerics Environment) and is developed as a research code with a focus on modularity and reusability. We describe recent efforts in improving the transparency and efficiency of the development process and community-building, as well as efforts towards quality assurance and reproducible research. In addition to a major redesign of many simulation components in order to facilitate setting up complex simulations in DuMux, version 3 introduces a more consistent abstraction of finite volume schemes. Finally, the new framework for multi-domain simulations is described, and three numerical examples demonstrate its flexibility.}, author = {Koch, Timo and Gl\"{a}ser, Dennis and Weishaupt, Kilian and Ackermann, Sina and Beck, Martin and Becker, Beatrix and Burbulla, Samuel and Class, Holger and Coltman, Edward and Emmert, Simon and Fetzer, Thomas and Gr\"{u}ninger, Christoph and Heck, Katharina and Hommel, Johannes and Kurz, Theresa and Lipp, Melanie and Mohammadi, Farid and Scherrer, Samuel and Schneider, Martin and Seitz, Gabriele and Stadler, Leopold and Utz, Martin and Weinhardt, Felix and Flemisch, Bernd}, doi = {10.1016/j.camwa.2020.02.012}, issn = {0898-1221}, journal = {Computers {\&} Mathematics with Applications}, month = {01}, publisher = {Elsevier {BV}}, title = {{DuMux} 3 {\textendash} an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling}, url = {https://doi.org/10.1016/j.camwa.2020.02.012}, year = 2021 }
  Link
  https://doi.org/10.1016/j.camwa.2020.02.012
7. Berre, I., Boon, W. M., Flemisch, B., Fumagalli, A., Gläser, D., Keilegavlen, E., Scotti, A., Stefansson, I., Tatomir, A., Brenner, K., Burbulla, S., Devloo, P., Duran, O., Favino, M., Hennicker, J., Lee, I.-H., Lipnikov, K., Masson, R., Mosthaf, K., … Zulian, P. (2021). Verification benchmarks for single-phase flow in three-dimensional fractured porous media. Advances in Water Resources, 147, 103759. https://doi.org/10.1016/j.advwatres.2020.103759
  Abstract
  Flow in fractured porous media occurs in the earth’s subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the last decade has seen an extensive development of models and numerical methods that explicitly account for their presence. To support these developments, four benchmark cases for single-phase flow in three-dimensional fractured porous media are presented. The cases are specifically designed to test the methods’ capabilities in handling various complexities common to the geometrical structures of fracture networks. Based on an open call for participation, results obtained with 17 numerical methods were collected. This paper presents the underlying mathematical model, an overview of the features of the participating numerical methods, and their performance in solving the benchmark cases.
  BibTeX
  @article{BERRE2021103759, abstract = {Flow in fractured porous media occurs in the earth’s subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the last decade has seen an extensive development of models and numerical methods that explicitly account for their presence. To support these developments, four benchmark cases for single-phase flow in three-dimensional fractured porous media are presented. The cases are specifically designed to test the methods’ capabilities in handling various complexities common to the geometrical structures of fracture networks. Based on an open call for participation, results obtained with 17 numerical methods were collected. This paper presents the underlying mathematical model, an overview of the features of the participating numerical methods, and their performance in solving the benchmark cases.}, author = {Berre, Inga and Boon, Wietse M. and Flemisch, Bernd and Fumagalli, Alessio and Gläser, Dennis and Keilegavlen, Eirik and Scotti, Anna and Stefansson, Ivar and Tatomir, Alexandru and Brenner, Konstantin and Burbulla, Samuel and Devloo, Philippe and Duran, Omar and Favino, Marco and Hennicker, Julian and Lee, I-Hsien and Lipnikov, Konstantin and Masson, Roland and Mosthaf, Klaus and Nestola, Maria Giuseppina Chiara and Ni, Chuen-Fa and Nikitin, Kirill and Schädle, Philipp and Svyatskiy, Daniil and Yanbarisov, Ruslan and Zulian, Patrick}, doi = {https://doi.org/10.1016/j.advwatres.2020.103759}, issn = {0309-1708}, journal = {Advances in Water Resources}, pages = 103759, title = {Verification benchmarks for single-phase flow in three-dimensional fractured porous media}, url = {https://www.sciencedirect.com/science/article/pii/S0309170820301603}, volume = 147, year = 2021 }
  Link
  https://www.sciencedirect.com/science/article/pii/S0309170820301603
8. Gläser, D., Flemisch, B., Class, H., & Helmig, R. (2020). Frackit: a framework for stochastic fracture network generation and analysis. Journal of Open Source Software, 5. https://doi.org/10.21105/joss.02291
  - BibTeX
  - Link
  BibTeX
  @article{frackit-2020-glaeser, author = {Gläser, Dennis and Flemisch, Bernd and Class, Holger and Helmig, Rainer}, doi = {10.21105/joss.02291}, journal = {Journal of Open Source Software}, month = {12}, page = {2291}, title = {Frackit: a framework for stochastic fracture network generation and analysis}, url = {https://joss.theoj.org/papers/10.21105/joss.02291}, volume = 5, year = 2020 }
  Link
  https://joss.theoj.org/papers/10.21105/joss.02291
9. Agélas, L., Schneider, M., Enchéry, G., & Flemisch, B. (2020). Convergence of nonlinear finite volume schemes for two-phase porous media flow on general meshes. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/draa064
  Abstract
  In this work we present an abstract finite volume discretization framework for incompressible immiscible two-phase flow through porous media. A priori error estimates are derived that allow us to prove the existence of discrete solutions and to establish the proof of convergence for schemes belonging to this framework. In contrast to existing publications the proof is not restricted to a specific scheme and it assumes neither symmetry nor linearity of the flux approximations. Two nonlinear schemes, namely a nonlinear two-point flux approximation and a nonlinear multipoint flux approximation, are presented, and some properties of these schemes, e.g. saturation bounds, are proven. Furthermore, the numerical behavior of these schemes (e.g. accuracy, coercivity, efficiency or saturation bounds) is investigated for different test cases for which the coercivity is checked numerically.
  BibTeX
  @article{agelas2020, abstract = {{In this work we present an abstract finite volume discretization framework for incompressible immiscible two-phase flow through porous media. A priori error estimates are derived that allow us to prove the existence of discrete solutions and to establish the proof of convergence for schemes belonging to this framework. In contrast to existing publications the proof is not restricted to a specific scheme and it assumes neither symmetry nor linearity of the flux approximations. Two nonlinear schemes, namely a nonlinear two-point flux approximation and a nonlinear multipoint flux approximation, are presented, and some properties of these schemes, e.g. saturation bounds, are proven. Furthermore, the numerical behavior of these schemes (e.g. accuracy, coercivity, efficiency or saturation bounds) is investigated for different test cases for which the coercivity is checked numerically.}}, author = {Agélas, Léo and Schneider, Martin and Enchéry, Guillaume and Flemisch, Bernd}, doi = {10.1093/imanum/draa064}, eprint = {https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/draa064/33841699/draa064.pdf}, issn = {0272-4979}, journal = {IMA Journal of Numerical Analysis}, month = {10}, note = {draa064}, title = {{Convergence of nonlinear finite volume schemes for two-phase porous media flow on general meshes}}, url = {https://doi.org/10.1093/imanum/draa064}, year = 2020 }
  Link
  https://doi.org/10.1093/imanum/draa064
10. Beck, M., Rinaldi, A. P., Flemisch, B., & Class, H. (2020). Accuracy of fully coupled and sequential approaches for modeling hydro- and geomechanical processes. Computational Geosciences, 24(4), 1707--1723. https://doi.org/10.1007/s10596-020-09987-w
  Abstract
  Subsurface flow and geomechanics are often modeled with sequential approaches. This can be computationally beneficial compared with fully coupled schemes, while it requires usually compromises in numerical accuracy, at least when the sequential scheme is non-iterative. We discuss the influence of the choice of scheme on the numerical accuracy and the expected computational effort based on a comparison of a fully coupled scheme, a scheme employing a one-way coupling, and an iterative scheme using a fixed-stress split for two subsurface injection scenarios. All these schemes were implemented in the numerical simulator DuMux. This study identifies conditions of problem settings where differences due to the choice of the model approach are as important as differences in geologic features. It is shown that in particular transient and multiphase flow, effects can be causing significant deviations between non-iterative and iterative sequential schemes, which might be in the same order of magnitude as geologic uncertainty. An iterated fixed-stress split has the same numerical accuracy as a fully coupled scheme but only for a certain number of iterations which might use up the computational advantage of solving two smaller systems of equations rather than a big monolithical one.
  BibTeX
  @article{beck_accuracy_2020, abstract = {Subsurface flow and geomechanics are often modeled with sequential approaches. This can be computationally beneficial compared with fully coupled schemes, while it requires usually compromises in numerical accuracy, at least when the sequential scheme is non-iterative. We discuss the influence of the choice of scheme on the numerical accuracy and the expected computational effort based on a comparison of a fully coupled scheme, a scheme employing a one-way coupling, and an iterative scheme using a fixed-stress split for two subsurface injection scenarios. All these schemes were implemented in the numerical simulator DuMux. This study identifies conditions of problem settings where differences due to the choice of the model approach are as important as differences in geologic features. It is shown that in particular transient and multiphase flow, effects can be causing significant deviations between non-iterative and iterative sequential schemes, which might be in the same order of magnitude as geologic uncertainty. An iterated fixed-stress split has the same numerical accuracy as a fully coupled scheme but only for a certain number of iterations which might use up the computational advantage of solving two smaller systems of equations rather than a big monolithical one.}, author = {Beck, M. and Rinaldi, A. P. and Flemisch, B. and Class, H.}, doi = {10.1007/s10596-020-09987-w}, issn = {1573-1499}, journal = {Computational Geosciences}, language = {en}, month = {08}, number = 4, pages = {1707--1723}, publisher = {Springer Science and Business Media {LLC}}, title = {Accuracy of fully coupled and sequential approaches for modeling hydro- and geomechanical processes}, url = {https://doi.org/10.1007/s10596-020-09987-w}, urldate = {2020-11-17}, volume = 24, year = 2020 }
  Link
  https://doi.org/10.1007/s10596-020-09987-w
11. Schneider, M., Flemisch, B., Frey, S., Hermann, S., Iglezakis, D., Ruf, M., Schembera, B., Seeland, A., & Steeb, H. (2020). Datenmanagement im SFB 1313. Bausteine Forschungsdatenmanagement, 3(1), 28–38. https://doi.org/10.17192/bfdm.2020.1.8085
  - BibTeX
  - Link
  BibTeX
  @article{Schneider:2020:DIS, author = {Schneider, Martin and Flemisch, Bernd and Frey, Steffen and Hermann, Sibylle and Iglezakis, Dorothea and Ruf, Matthias and Schembera, Björn and Seeland, Anett and Steeb, Holger}, doi = {10.17192/bfdm.2020.1.8085}, journal = {Bausteine Forschungsdatenmanagement}, language = {de}, month = {04}, number = 1, pages = {28-38}, publisher = {Philipps-Universität Marburg}, title = {Datenmanagement im SFB 1313}, url = {https://bausteine-fdm.de/article/view/8085}, volume = 3, year = 2020 }
  Link
  https://bausteine-fdm.de/article/view/8085
12. Koch, T., Flemisch, B., Helmig, R., Wiest, R., & Obrist, D. (2020). A multi-scale sub-voxel perfusion model to estimate diffusive capillary wall conductivity in multiple sclerosis lesions from perfusion MRI data. International Journal for Numerical Methods in Biomedical Engineering, 36(2), e3298. https://doi.org/10.1002/cnm.3298
  Abstract
  Abstract We propose a new mathematical model to learn capillary leakage coefficients from dynamic susceptibility contrast MRI data. To this end, we derive an embedded mixed-dimension flow and transport model for brain tissue perfusion on a subvoxel scale. This model is used to obtain the contrast agent concentration distribution in a single MRI voxel during a perfusion MRI sequence. We further present a magnetic resonance signal model for the considered sequence including a model for local susceptibility effects. This allows modeling MR signal-time curves that can be compared with clinical MRI data. The proposed model can be used as a forward model in the inverse modeling problem of inferring model parameters such as the diffusive capillary wall conductivity. Acute multiple sclerosis lesions are associated with a breach in the integrity of the blood-brain barrier. Applying the model to perfusion MR data of a patient with acute multiple sclerosis lesions, we conclude that diffusive capillary wall conductivity is a good indicator for characterizing activity of lesions, even if other patient-specific model parameters are not well-known.
  BibTeX
  @article{Koch-Koch-2020-01, abstract = {Abstract We propose a new mathematical model to learn capillary leakage coefficients from dynamic susceptibility contrast MRI data. To this end, we derive an embedded mixed-dimension flow and transport model for brain tissue perfusion on a subvoxel scale. This model is used to obtain the contrast agent concentration distribution in a single MRI voxel during a perfusion MRI sequence. We further present a magnetic resonance signal model for the considered sequence including a model for local susceptibility effects. This allows modeling MR signal-time curves that can be compared with clinical MRI data. The proposed model can be used as a forward model in the inverse modeling problem of inferring model parameters such as the diffusive capillary wall conductivity. Acute multiple sclerosis lesions are associated with a breach in the integrity of the blood-brain barrier. Applying the model to perfusion MR data of a patient with acute multiple sclerosis lesions, we conclude that diffusive capillary wall conductivity is a good indicator for characterizing activity of lesions, even if other patient-specific model parameters are not well-known.}, author = {Koch, Timo and Flemisch, Bernd and Helmig, Rainer and Wiest, Roland and Obrist, Dominik}, copyright = {This article is protected by copyright. All rights reserved.}, doi = {10.1002/cnm.3298}, issn = {2040-7947}, journal = {International Journal for Numerical Methods in Biomedical Engineering}, language = {en}, number = 2, pages = {e3298}, title = {A multi-scale sub-voxel perfusion model to estimate diffusive capillary wall conductivity in multiple sclerosis lesions from perfusion {MRI} data}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.3298}, volume = 36, year = 2020 }
  Link
  https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.3298
13. Bilke, L., Flemisch, B., Kalbacher, T., Kolditz, O., Helmig, R., & Nagel, T. (2019). Development of Open-Source Porous Media Simulators: Principles and Experiences. Transport in Porous Media, 130(1), 337--361. https://doi.org/10.1007/s11242-019-01310-1
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  @article{Flemisch-Bilke-2019-01, author = {Bilke, Lars and Flemisch, Bernd and Kalbacher, Thomas and Kolditz, Olaf and Helmig, Rainer and Nagel, Thomas}, day = 01, doi = {10.1007/s11242-019-01310-1}, issn = {1573-1634}, journal = {Transport in Porous Media}, month = {10}, number = 1, pages = {337--361}, title = {Development of Open-Source Porous Media Simulators: Principles and Experiences}, url = {https://doi.org/10.1007/s11242-019-01310-1}, volume = 130, year = 2019 }
  Link
  https://doi.org/10.1007/s11242-019-01310-1
14. Schneider, M., Gläser, D., Flemisch, B., & Helmig, R. (2018). Comparison of finite-volume schemes for diffusion problems. Oil & Gas Science and Technology – Revue d’IFP Energies Nouvelles, 73. https://ogst.ifpenergiesnouvelles.fr/articles/ogst/pdf/2018/01/ogst180050.pdf
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  @article{NULL, author = {Schneider, Martin and Gläser, Dennis and Flemisch, Bernd and Helmig, Rainer}, journal = {Oil & Gas Science and Technology – Revue d'IFP Energies nouvelles}, month = {12}, note = {, IWS2ID=4565 , Partnerinstitution: IFP Energies nouvelles , Partneraddress: Rueil Malmaison }, title = {Comparison of finite-volume schemes for diffusion problems}, url = {https://ogst.ifpenergiesnouvelles.fr/articles/ogst/pdf/2018/01/ogst180050.pdf}, volume = 73, year = 2018 }
  Link
  https://ogst.ifpenergiesnouvelles.fr/articles/ogst/pdf/2018/01/ogst180050.pdf
15. Becker, B., Guo, B., Bandilla, K., Celia, M. A., Flemisch, B., & Helmig, R. (2018). An adaptive multiphysics model coupling vertical equilibrium and full multidimensions for multiphase flow in porous media. Water Resources Research, 54. https://doi.org/10.1029/2017WR022303
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  @article{NULL, author = {Becker, Beatrix and Guo, Bo and Bandilla, Karl and Celia, Michael A. and Flemisch, Bernd and Helmig, Rainer}, doi = {10.1029/2017WR022303}, journal = {Water Resources Research}, month = {05}, note = {, IWS2ID=4512 , Partnerinstitution: Stanford University, Dept. of Energy Resources Engineering, Princeton University, Dept. of Civil and Environmental Engineering }, page = {4347-4360}, title = {An adaptive multiphysics model coupling vertical equilibrium and full multidimensions for multiphase flow in porous media}, url = {https://agupubs.onlinelibrary.wiley.com/doi/epdf/10.1029/2017WR022303}, volume = 54, year = 2018 }
  Link
  https://agupubs.onlinelibrary.wiley.com/doi/epdf/10.1029/2017WR022303
16. Schneider, M., Flemisch, B., Helmig, R., Terekhov, K., & Tchelepi, H. (2018). Monotone nonlinear finite-volume method for challenging grids. Computational Geosciences. https://doi.org/10.1007/s10596-017-9710-8
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  @article{NULL, author = {Schneider, Martin and Flemisch, Bernd and Helmig, Rainer and Terekhov, Kirill and Tchelepi, Hamdi}, doi = {10.1007/s10596-017-9710-8}, journal = {Computational Geosciences}, month = {01}, note = {, IWS2ID=4426 , Partneraddress: Stanford, California, USA }, title = {Monotone nonlinear finite-volume method for challenging grids}, url = {https://doi.org/10.1007/s10596-017-9710-8}, year = 2018 }
  Link
  https://doi.org/10.1007/s10596-017-9710-8
17. Koch, T., Gläser, D., Weishaupt, K., Ackermann, S., Beck, M., Becker, B., Burbulla, S., Class, H., Coltman, E., Fetzer, T., Flemisch, B., Grüninger, C., Heck, K., Hommel, J., Kurz, T., Lipp, M., Mohammadi, F., Schneider, M., Seitz, G., … Weinhardt, F. (2018). DuMuX 3.0.0. https://doi.org/10.5281/zenodo.2479595
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  @article{koch2018dumux, author = {Koch, Timo and Gläser, Dennis and Weishaupt, Kilian and Ackermann, Sina and Beck, Martin and Becker, Beatrix and Burbulla, S. and Class, Holger and Coltman, Edward and Fetzer, Thomas and Flemisch, Bernd and Grüninger, Christoph and Heck, Katharina and Hommel, Johannes and Kurz, Theresa and Lipp, Melanie and Mohammadi, Farid and Schneider, Martin and Seitz, Gabriele and Scholz, Simon and Weinhardt, Felix}, doi = {10.5281/zenodo.2479595}, title = {DuMuX 3.0.0}, year = 2018 }
18. Gläser, D., Helmig, R., Flemisch, B., & Class, H. (2017). A discrete fracture model for two-phase flow in fractured porous media. Advances in Water Resources, 110. https://doi.org/10.1016/j.advwatres.2017.10.031
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  @article{NULL, author = {Gläser, Dennis and Helmig, Rainer and Flemisch, Bernd and Class, Holger}, doi = {10.1016/j.advwatres.2017.10.031}, journal = {Advances in Water Resources}, month = {12}, note = {, IWS2ID=4485 }, page = {335-348}, title = {A discrete fracture model for two-phase flow in fractured porous media}, volume = 110, year = 2017 }
19. Becker, B., Guo, B., Bandilla, K., Celia, M. A., Flemisch, B., & Helmig, R. (2017). A pseudo-vertical equilibrium model for slow gravity drainage dynamics. Water Resources Research, 53. https://doi.org/10.1002/2017WR021644
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  @article{NULL, author = {Becker, Beatrix and Guo, Bo and Bandilla, Karl and Celia, Michael A. and Flemisch, Bernd and Helmig, Rainer}, doi = {10.1002/2017WR021644}, journal = {Water Resources Research}, month = {12}, note = {, IWS2ID=4502 , Partnerinstitution: Stanford University, Dept. of Energy Resources Engineering, Princeton University, Dept. of Civil and Environmental Engineering , Partneraddress: Stanford, California, USA, Princeton, NJ, USA }, page = {10,491-10,507}, title = {A pseudo-vertical equilibrium model for slow gravity drainage dynamics}, url = {http://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2017/Becker_et_al-2017-Water_Resources_Research.pdf}, volume = 53, year = 2017 }
  Link
  http://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2017/Becker_et_al-2017-Water_Resources_Research.pdf
20. Schneider, M., Agélas, L., Enchery, G., & Flemisch, B. (2017). Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes. 351. https://doi.org/10.1016/j.jcp.2017.09.003
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  @article{NULL, author = {Schneider, Martin and Agélas, Léo and Enchery, Guillaume and Flemisch, Bernd}, doi = {10.1016/j.jcp.2017.09.003}, month = {09}, note = {, IWS2ID=4462 }, page = {80-107}, title = {Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes}, url = {https://authors.elsevier.com/a/1VoIE508Haegg}, volume = 351, year = 2017 }
  Link
  https://authors.elsevier.com/a/1VoIE508Haegg
21. Sander, O., Koch, T., Schröder, N., & Flemisch, B. (2017). The Dune FoamGrid implementation for surface and network grids. Archive of Numerical Software, 5. https://dx.doi.org/10.11588/ans.2017.1.28490
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  @article{NULL, author = {Sander, Oliver and Koch, Timo and Schröder, Natalie and Flemisch, Bernd}, journal = {Archive of Numerical Software}, month = {03}, note = {, IWS2ID=4444 }, page = {217-244}, title = {The Dune FoamGrid implementation for surface and network grids}, url = {https://dx.doi.org/10.11588/ans.2017.1.28490}, volume = 5, year = 2017 }
  Link
  https://dx.doi.org/10.11588/ans.2017.1.28490
22. Schneider, M., Flemisch, B., & Helmig, R. (2017). Monotone nonlinear finite-volume method for nonisothermal two-phase two-component flow in porous media. International Journal for Numerical Methods in Fluids, 84(6), Article 6. https://doi.org/10.1002/fld.4352
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  @article{NULL, author = {Schneider, Martin and Flemisch, Bernd and Helmig, Rainer}, doi = {10.1002/fld.4352}, journal = {International Journal for Numerical Methods in Fluids}, month = {01}, note = {, IWS2ID=4354 }, number = 6, page = {352-381}, title = {Monotone nonlinear finite-volume method for nonisothermal two-phase two-component flow in porous media}, url = {https://onlinelibrary.wiley.com/doi/10.1002/fld.4352/full}, volume = 84, year = 2017 }
  Link
  https://onlinelibrary.wiley.com/doi/10.1002/fld.4352/full
23. Baber, K., Flemisch, B., & Helmig, R. (2016). Modelling drop dynamics at the interface between free and porous-medium flow using the mortar method. International Journal of Heat and Mass Transfer. https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2014/SimTech_Preprint_Baber2014.pdf
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  @article{NULL, author = {Baber, Katherina and Flemisch, Bernd and Helmig, Rainer}, journal = {International Journal of Heat and Mass Transfer}, month = {07}, note = {to appear, IWS2ID=2989 }, title = {Modelling drop dynamics at the interface between free and porous-medium flow using the mortar method}, url = {https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2014/SimTech_Preprint_Baber2014.pdf}, year = 2016 }
  Link
  https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2014/SimTech_Preprint_Baber2014.pdf
24. Blatt, M., Burchardt, A., Dedner, A., Engwer, C., Fahlke, J., Flemisch, B., Gersbacher, C., Gräser, C., Gruber, F., Grüninger, C., Kempf, D., Klöfkorn, R., Malkmus, T., Müthing, S., Nolte, M., Piatkowski, M., & Sander, O. (2016). The Distributed and Unified Numerics Environment, Version 2.4. Archive of Numerical Software, 4(100), Article 100. https://doi.org/10.11588/ans.2016.100.26526
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  @article{dune2.4, author = {Blatt, Markus and Burchardt, Ansgar and Dedner, Andreas and Engwer, Christian and Fahlke, Jorrit and Flemisch, Bernd and Gersbacher, Christoph and Gräser, Carsten and Gruber, Felix and Grüninger, Christoph and Kempf, Dominic and Klöfkorn, Robert and Malkmus, Tobias and Müthing, Steffen and Nolte, Martin and Piatkowski, Marian and Sander, Oliver}, doi = {10.11588/ans.2016.100.26526}, journal = {Archive of Numerical Software}, month = {03}, note = {, IWS2ID=4348 }, number = 100, page = {13--29}, title = {The Distributed and Unified Numerics Environment, Version 2.4}, url = {http://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2016/26526-90825-1-PB.pdf}, volume = 4, year = 2016 }
  Link
  http://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2016/26526-90825-1-PB.pdf
25. Faigle, B., Elfeel, M. A., Helmig, R., Becker, B., Flemisch, B., & Geiger, S. (2015). Multi-physics modeling of non-isothermal compositional flow on adaptive grids. Computational Methods in Applied Mechanical Engineering, 292. https://doi.org/10.1016/j.cma.2014.11.030
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  @article{NULL, author = {Faigle, Benjamin and Elfeel, Mohamed Ahmed and Helmig, Rainer and Becker, Beatrix and Flemisch, Bernd and Geiger, Sebastian}, doi = {10.1016/j.cma.2014.11.030}, journal = {Computational Methods in Applied Mechanical Engineering}, month = {12}, note = {, IWS2ID=3025 }, page = {16-34}, title = {Multi-physics modeling of non-isothermal compositional flow on adaptive grids}, url = {http://www.sciencedirect.com/science/article/pii/S0045782514004630}, volume = 292, year = 2015 }
  Link
  http://www.sciencedirect.com/science/article/pii/S0045782514004630
26. Schwenck, N., Flemisch, B., Helmig, R., & Wohlmuth, B. I. (2015). Dimensionally reduced flow models in fractured porous media: crossings and boundaries. Computational Geosciences, 19(6), Article 6. https://doi.org/10.1007/s10596-015-9536-1
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  @article{NULL, author = {Schwenck, Nicolas and Flemisch, Bernd and Helmig, Rainer and Wohlmuth, Barbara I.}, doi = {10.1007/s10596-015-9536-1}, journal = {Computational Geosciences}, month = {09}, note = {, IWS2ID=3141 , Partnerinstitution: Lehrstuhl für Numerische Mathematik , Partneraddress: München }, number = 6, page = {1219-1230}, title = {Dimensionally reduced flow models in fractured porous media: crossings and boundaries}, url = {http://link.springer.com/article/10.1007/s10596-015-9536-1}, volume = 19, year = 2015 }
  Link
  http://link.springer.com/article/10.1007/s10596-015-9536-1
27. Kaulmann, S., Flemisch, B., Haasdonk, B., Lie, K.-A., & Ohlberger, M. (2015). The localized reduced basis multiscale method for two-phase flows in porous media. International Journal of Numerical Methods in Engineering, 102. https://onlinelibrary.wiley.com/doi/10.1002/nme.4773/full
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  @article{NULL, author = {Kaulmann, Sven and Flemisch, Bernd and Haasdonk, Bernard and Lie, Knut-Andreas and Ohlberger, Mario}, journal = {International Journal of Numerical Methods in Engineering}, month = {05}, note = {, IWS2ID=4350 }, page = {1018-1040}, title = {The localized reduced basis multiscale method for two-phase flows in porous media}, url = {https://onlinelibrary.wiley.com/doi/10.1002/nme.4773/full}, volume = 102, year = 2015 }
  Link
  https://onlinelibrary.wiley.com/doi/10.1002/nme.4773/full
28. Faigle, B., Helmig, R., Aavatsmark, I., & Flemisch, B. (2014). Efficient multiphysics modelling with adaptive grid-refinement using an MPFA method. Computational Geosciences, 18(5), Article 5. https://doi.org/10.1007/s10596-014-9407-1
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  @article{NULL, author = {Faigle, Benjamin and Helmig, Rainer and Aavatsmark, Ivar and Flemisch, Bernd}, doi = {10.1007/s10596-014-9407-1}, journal = {Computational Geosciences}, month = {03}, note = {, IWS2ID=2893 }, number = 5, page = {625-636}, title = {Efficient multiphysics modelling with adaptive grid-refinement using an MPFA method}, url = {http://link.springer.com/article/10.1007/s10596-014-9407-1}, volume = 18, year = 2014 }
  Link
  http://link.springer.com/article/10.1007/s10596-014-9407-1
29. Wolff, M., Flemisch, B., & Helmig, R. (2013). An adaptive multi-scale approach for modeling two-phase flow in porous media including capillary pressure. Water Resources Research, 49(12), Article 12. https://onlinelibrary.wiley.com/doi/10.1002/2013WR013800/full
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  @article{NULL, author = {Wolff, Markus and Flemisch, Bernd and Helmig, Rainer}, journal = {Water Resources Research}, month = {12}, note = {, IWS2ID=2833 }, number = 12, page = {8139-8159}, title = {An adaptive multi-scale approach for modeling two-phase flow in porous media including capillary pressure}, url = {https://onlinelibrary.wiley.com/doi/10.1002/2013WR013800/full}, volume = 49, year = 2013 }
  Link
  https://onlinelibrary.wiley.com/doi/10.1002/2013WR013800/full
30. Helmig, R., Flemisch, B., Wolff, M., Ebigbo, A., & Class, H. (2013). Model coupling for multiphase flow in porous media. Advances in Water Resources, 51. https://doi.org/10.1016/j.advwatres.2012.07.003
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  @article{NULL, author = {Helmig, Rainer and Flemisch, Bernd and Wolff, Markus and Ebigbo, Anozie and Class, Holger}, doi = {10.1016/j.advwatres.2012.07.003}, journal = {Advances in Water Resources}, month = {07}, note = {, IWS2ID=2774 }, page = {52-66}, title = {Model coupling for multiphase flow in porous media}, url = {http://www.sciencedirect.com/science/article/pii/S0309170812001911}, volume = 51, year = 2013 }
  Link
  http://www.sciencedirect.com/science/article/pii/S0309170812001911
31. Erbertseder, K., Reichold, J., Helmig, R., Jenny, P., & Flemisch, B. (2012). A coupled discrete / continuum model for describing cancer therapeutic transport in the lung. PloS ONE (Public Library of Science Online Journal), 7(3), Article 3. https://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0031966
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  @article{NULL, author = {Erbertseder, Karin and Reichold, Johannes and Helmig, Rainer and Jenny, Patrick and Flemisch, Bernd}, journal = {PloS ONE (Public Library of Science Online Journal)}, month = {12}, note = {, IWS2ID=2588 , Institution: , Address: , Partnerinstitution: Institute of Fluid Dynamics, ETH , Partneraddress: Zürich, Schweiz }, number = 3, page = {e31966}, title = {A coupled discrete / continuum model for describing cancer therapeutic transport in the lung}, url = {https://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0031966}, volume = 7, year = 2012 }
  Link
  https://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0031966
32. Wolff, M., Flemisch, B., Helmig, R., & Aavatsmark, I. (2012). Treatment of tensorial relative permeabilities with multipoint flux approximation. International Journal of Numerical Analysis & Modeling, 9(3), Article 3. https://www.math.ualberta.ca/ijnam/Volume-9-2012/No-3-12/2012-03-14.pdf
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  @article{NULL, author = {Wolff, Markus and Flemisch, Bernd and Helmig, Rainer and Aavatsmark, Ivar}, journal = {International Journal of Numerical Analysis & Modeling}, month = {12}, note = {, IWS2ID=2601 , Partnerinstitution: University of Bergen, CIPR }, number = 3, page = {725-744}, title = {Treatment of tensorial relative permeabilities with multipoint flux approximation}, url = {https://www.math.ualberta.ca/ijnam/Volume-9-2012/No-3-12/2012-03-14.pdf}, volume = 9, year = 2012 }
  Link
  https://www.math.ualberta.ca/ijnam/Volume-9-2012/No-3-12/2012-03-14.pdf
33. Baber, K., Mosthaf, K., Flemisch, B., Helmig, R., Müthing, S., & Wohlmuth, B. I. (2012). Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow. IMA Journal of Applied Mathematics, 77. https://doi.org/10.1093/imamat/hxs048
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  @article{NULL, author = {Baber, Katherina and Mosthaf, Klaus and Flemisch, Bernd and Helmig, Rainer and Müthing, Steffen and Wohlmuth, Barbara I.}, doi = {10.1093/imamat/hxs048}, journal = {IMA Journal of Applied Mathematics}, month = {12}, note = {, IWS2ID=2618 , Partnerinstitution: Institut für Visualisierung und Interaktive Systeme , Partneraddress: Universität Stuttgart }, page = {887-909}, title = {Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow}, url = {http://imamat.oxfordjournals.org/content/77/6/887.abstract}, volume = 77, year = 2012 }
  Link
  http://imamat.oxfordjournals.org/content/77/6/887.abstract
34. Nordbotten, J. M., Flemisch, B., Gasda, S. E., Nilsen, H. M., Fan, Y., Pickup, G. E., Wiese, B., Celia, M. A., Dahle, H. K., Eigestad, G. T., & Pruess, K. (2012). Uncertainties in practical simulation of CO2 storage. International Journal of Greenhouse Gas Control, 9. https://www.sciencedirect.com/science/article/pii/S1750583612000655
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  @article{NULL, author = {Nordbotten, Jan M. and Flemisch, Bernd and Gasda, Sarah E. and Nilsen, H. M. and Fan, Yaqing and Pickup, G. E. and Wiese, B. and Celia, Michael A. and Dahle, Helge K. and Eigestad, G. T. and Pruess, Karsten}, journal = {International Journal of Greenhouse Gas Control}, month = {07}, note = {, IWS2ID=2740 }, page = {234-242}, title = {Uncertainties in practical simulation of CO2 storage}, url = {https://www.sciencedirect.com/science/article/pii/S1750583612000655}, volume = 9, year = 2012 }
  Link
  https://www.sciencedirect.com/science/article/pii/S1750583612000655
35. Walter, L., Binning, P. J., Oladyshkin, S., Flemisch, B., & Class, H. (2012). Brine migration resulting from CO2 injection into saline aquifers - An approach to risk estimation including various levels of uncertainty. International Journal of Greenhouse Gas Control, 9. https://www.sciencedirect.com/science/article/pii/S1750583612001077
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  @article{NULL, author = {Walter, Lena and Binning, Philip J. and Oladyshkin, Sergey and Flemisch, Bernd and Class, Holger}, journal = {International Journal of Greenhouse Gas Control}, month = {05}, note = {, IWS2ID=2743 }, page = {495-506}, title = {Brine migration resulting from CO2 injection into saline aquifers - An approach to risk estimation including various levels of uncertainty}, url = {https://www.sciencedirect.com/science/article/pii/S1750583612001077}, volume = 9, year = 2012 }
  Link
  https://www.sciencedirect.com/science/article/pii/S1750583612001077
36. Flemisch, B., Kaltenbacher, M., Triebenbacher, S., & Wohlmuth, B. I. (2012). Non-matching grids for a flexible discretization in computational acoustics. 11. https://doi.org/10.4208/cicp.141209.280810s
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  @article{NULL, author = {Flemisch, Bernd and Kaltenbacher, Manfred and Triebenbacher, Simon and Wohlmuth, Barbara I.}, doi = {10.4208/cicp.141209.280810s}, month = {02}, note = {, IWS2ID=4351 }, page = {472-488}, title = {Non-matching grids for a flexible discretization in computational acoustics}, url = {https://www.global-sci.com/freedownload/v11_472.pdf}, volume = 11, year = 2012 }
  Link
  https://www.global-sci.com/freedownload/v11_472.pdf
37. Fritz, J., Flemisch, B., & Helmig, R. (2011). Decoupled and multiphysics models for non-isothermal compositional two-phase flow in porous media. International Journal of Numerical Analysis & Modeling, 9(1), Article 1. https://www.math.ualberta.ca/ijnam/Volume-9-2012/No-1-12/2012-01-02.pdf
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  @article{NULL, author = {Fritz, Jochen and Flemisch, Bernd and Helmig, Rainer}, journal = {International Journal of Numerical Analysis & Modeling}, month = {12}, note = {, IWS2ID=2484 }, number = 1, page = {17-28}, title = {Decoupled and multiphysics models for non-isothermal compositional two-phase flow in porous media}, url = {https://www.math.ualberta.ca/ijnam/Volume-9-2012/No-1-12/2012-01-02.pdf}, volume = 9, year = 2011 }
  Link
  https://www.math.ualberta.ca/ijnam/Volume-9-2012/No-1-12/2012-01-02.pdf
38. Flemisch, B., Darcis, M., Erbertseder, K., Faigle, B., Lauser, A., Mosthaf, K., Müthing, S., Nuske, P., Tatomir, A., Wolff, M., & Helmig, R. (2011). DUMUX: DUNE for multi-phase, component, scale, physics, ... flow and transport in porous media. Advances in Water Resources, 34(9), Article 9. https://doi.org/10.1016/j.advwaters.2011.03.007
  - BibTeX
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  BibTeX
  @article{NULL, author = {Flemisch, Bernd and Darcis, Melanie and Erbertseder, Karin and Faigle, Benjamin and Lauser, Andreas and Mosthaf, Klaus and Müthing, Steffen and Nuske, Philipp and Tatomir, Alexandru and Wolff, Markus and Helmig, Rainer}, doi = {10.1016/j.advwaters.2011.03.007}, journal = {Advances in Water Resources}, month = {12}, note = {, IWS2ID=2545 }, number = 9, page = {1102-1112}, title = {DUMUX: DUNE for multi-{phase, component, scale, physics, ...} flow and transport in porous media}, url = {http://www.sciencedirect.com/science/article/pii/S030917081100056X}, volume = 34, year = 2011 }
  Link
  http://www.sciencedirect.com/science/article/pii/S030917081100056X
39. Darcis, M., Class, H., Flemisch, B., & Helmig, R. (2011). Sequential model coupling for feasibility studies of CO2 storage in deep saline aquifers. Oil & Gas Science and Technology-Revue de l’IFP, 66(1), Article 1. https://doi.org/10.2516/ogst/2010037
  - BibTeX
  - Link
  BibTeX
  @article{NULL, author = {Darcis, Melanie and Class, Holger and Flemisch, Bernd and Helmig, Rainer}, doi = {10.2516/ogst/2010037}, journal = {Oil & Gas Science and Technology-Revue de l'IFP}, month = {12}, note = {, IWS2ID=2558 }, number = 1, page = {93-103}, title = {Sequential model coupling for feasibility studies of CO2 storage in deep saline aquifers}, url = {http://ogst.ifpenergiesnouvelles.fr/index.php?option=com_article&access=doi&doi=10.2516/ogst/2010037&Itemid=129}, volume = 66, year = 2011 }
  Link
  http://ogst.ifpenergiesnouvelles.fr/index.php?option=com_article&access=doi&doi=10.2516/ogst/2010037&Itemid=129
40. Mosthaf, K., Baber, K., Flemisch, B., Helmig, R., Leijnse, T., Rybak, I., & Wohlmuth, B. I. (2011). A coupling concept for two-phase compositional porous-medium and single-phase compositional free flow. Water Resources Research, 47. https://onlinelibrary.wiley.com/doi/10.1029/2011WR010685/abstract
  - BibTeX
  - Link
  BibTeX
  @article{NULL, author = {Mosthaf, Klaus and Baber, Katherina and Flemisch, Bernd and Helmig, Rainer and Leijnse, Toon and Rybak, Iryna and Wohlmuth, Barbara I.}, journal = {Water Resources Research}, month = {12}, note = {, IWS2ID=2589 }, page = {W10522}, title = {A coupling concept for two-phase compositional porous-medium and single-phase compositional free flow}, url = {https://onlinelibrary.wiley.com/doi/10.1029/2011WR010685/abstract}, volume = 47, year = 2011 }
  Link
  https://onlinelibrary.wiley.com/doi/10.1029/2011WR010685/abstract
41. Triebenbacher, S., Kaltenbacher, M., Wohlmuth, B. I., & Flemisch, B. (2010). Applications of the Mortar Finite Element Method in Vibroacoustics and Flow Induced Noise Computations. Acustica, 96. https://www.ingentaconnect.com/content/dav/aaua/2010/00000096/00000003/art00013
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  - Link
  BibTeX
  @article{NULL, author = {Triebenbacher, Simon and Kaltenbacher, Manfred and Wohlmuth, Barbara I. and Flemisch, Bernd}, journal = {Acustica}, month = {12}, note = {, IWS2ID=2543 }, page = {536-553}, title = {Applications of the Mortar Finite Element Method in Vibroacoustics and Flow Induced Noise Computations}, url = {https://www.ingentaconnect.com/content/dav/aaua/2010/00000096/00000003/art00013}, volume = 96, year = 2010 }
  Link
  https://www.ingentaconnect.com/content/dav/aaua/2010/00000096/00000003/art00013
42. Flemisch, B., Kaltenbacher, M., Triebenbacher, S., & Wohlmuth, B. I. (2010). The equivalence of standard and mixed finite element methods in applications to elasto-acoustic interaction. SIAM Journal on Scientific Computing, 32(4), Article 4. https://epubs.siam.org/doi/abs/10.1137/090758507
  - BibTeX
  - Link
  BibTeX
  @article{NULL, author = {Flemisch, Bernd and Kaltenbacher, Manfred and Triebenbacher, Simon and Wohlmuth, Barbara I.}, journal = {SIAM Journal on Scientific Computing}, month = {12}, note = {, IWS2ID=2480 }, number = 4, page = {1980-2006}, title = {The equivalence of standard and mixed finite element methods in applications to elasto-acoustic interaction}, url = {https://epubs.siam.org/doi/abs/10.1137/090758507}, volume = 32, year = 2010 }
  Link
  https://epubs.siam.org/doi/abs/10.1137/090758507
43. Class, H., Ebigbo, A., Helmig, R., Dahle, H. K., Nordbotten, J. M., Celia, M. A., Audigane, P., Darcis, M., Ennis-King, J., Fan, Y., Flemisch, B., Gasda, S. E., Jin, M., Krug, S., Labregere, D., Naderi Beni, A., Pawar, R. J., Sbai, A., Thomas, S. G., … Wei, L. (2009). A benchmark study on problems related to CO2 storage in geologic formations: Summary and discussion of the results. Computational Geosciences, 13(4), Article 4. https://doi.org/10.1007/s10596-009-9146-x
  - BibTeX
  - Link
  BibTeX
  @article{NULL, author = {Class, Holger and Ebigbo, Anozie and Helmig, Rainer and Dahle, Helge K. and Nordbotten, Jan M. and Celia, Michael A. and Audigane, Pascal and Darcis, Melanie and Ennis-King, Jonathan and Fan, Yaqing and Flemisch, Bernd and Gasda, Sarah E. and Jin, Min and Krug, Stefanie and Labregere, Diane and Naderi Beni, Ali and Pawar, Rajesh J. and Sbai, Adil and Thomas, Sunil G. and Trenty, Laurent and Wei, Lingli}, doi = {10.1007/s10596-009-9146-x}, journal = {Computational Geosciences}, month = {12}, note = {, IWS2ID=2473 }, number = 4, page = {409-434}, title = {A benchmark study on problems related to CO2 storage in geologic formations: Summary and discussion of the results}, url = {https://link.springer.com/article/10.1007%2Fs10596-009-9146-x?LI=true}, volume = 13, year = 2009 }
  Link
  https://link.springer.com/article/10.1007%2Fs10596-009-9146-x?LI=true
44. Ernst, R., Flemisch, B., & Wohlmuth, B. I. (2009). A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction. Mathematical Modelling and Numerical Analysis, 43, Article 43. https://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8194552&fileId=S0764583X09000107
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  - Link
  BibTeX
  @article{NULL, author = {Ernst, Roland and Flemisch, Bernd and Wohlmuth, Barbara I.}, journal = {Mathematical Modelling and Numerical Analysis}, month = {12}, note = {, IWS2ID=2362 }, number = 43, page = {487-506}, title = {A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction}, url = {https://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8194552&fileId=S0764583X09000107}, year = 2009 }
  Link
  https://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8194552&fileId=S0764583X09000107
45. Kurz, S., Auchmann, B., & Flemisch, B. (2009). Dimensional reduction of field problems in a differential-forms framework. COMPEL, 28(4), Article 4. https://www.emeraldinsight.com/doi/abs/10.1108/03321640910959008
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  - Link
  BibTeX
  @article{NULL, author = {Kurz, Stefan and Auchmann, Bernhard and Flemisch, Bernd}, journal = {COMPEL}, month = {12}, note = {, IWS2ID=2481 }, number = 4, page = {907-921}, title = {Dimensional reduction of field problems in a differential-forms framework}, url = {https://www.emeraldinsight.com/doi/abs/10.1108/03321640910959008}, volume = 28, year = 2009 }
  Link
  https://www.emeraldinsight.com/doi/abs/10.1108/03321640910959008
46. Darcis, M., Class, H., & Flemisch, B. (2009). Coupling Models of Different Complexity for the Simulation of CO2 Storage in Saline Aquifers. Energy Procedia, 1. https://www.sciencedirect.com/science/article/pii/S187661020900232X
  - BibTeX
  - Link
  BibTeX
  @article{NULL, author = {Darcis, Melanie and Class, Holger and Flemisch, Bernd}, journal = {Energy Procedia}, month = {01}, note = {, IWS2ID=2454 }, page = {1767-1774}, title = {Coupling Models of Different Complexity for the Simulation of CO2 Storage in Saline Aquifers}, url = {https://www.sciencedirect.com/science/article/pii/S187661020900232X}, volume = 1, year = 2009 }
  Link
  https://www.sciencedirect.com/science/article/pii/S187661020900232X
47. Flemisch, B., & Wohlmuth, B. I. (2007). Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D. Computational Methods in Applied Mechanical Engineering, 196. https://doi.org/10.1016/j.cma.2006.03.022
  - BibTeX
  - Link
  BibTeX
  @article{NULL, author = {Flemisch, Bernd and Wohlmuth, Barbara I.}, doi = {10.1016/j.cma.2006.03.022}, journal = {Computational Methods in Applied Mechanical Engineering}, month = {12}, note = {, IWS2ID=2359 }, page = {1589-1602}, title = {Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D}, url = {http://www.sciencedirect.com/science/article/pii/S0045782506002866}, volume = 196, year = 2007 }
  Link
  http://www.sciencedirect.com/science/article/pii/S0045782506002866
48. Flemisch, B., Kaltenbacher, M., & Wohlmuth, B. I. (2006). Elasto-acoustic and acoustic-acoustic coupling on nonmatching grids. International Journal of Numerical Methods in Engineering, 67. https://doi.org/10.1002/nme.1669
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  BibTeX
  @article{NULL, author = {Flemisch, Bernd and Kaltenbacher, Manfred and Wohlmuth, Barbara I.}, doi = {10.1002/nme.1669}, journal = {International Journal of Numerical Methods in Engineering}, month = {12}, note = {, IWS2ID=2358 }, page = {1791-1810}, title = {Elasto-acoustic and acoustic-acoustic coupling on nonmatching grids}, url = {http://onlinelibrary.wiley.com/doi/10.1002/nme.1669/full}, volume = 67, year = 2006 }
  Link
  http://onlinelibrary.wiley.com/doi/10.1002/nme.1669/full
49. Flemisch, B., Melenk, J. M., & Wohlmuth, B. I. (2005). Mortar methods with curved interfaces. Applied Numerical Mathematics, 54. https://doi.org/10.1016/j.apnum.2004.09.007
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  - Link
  BibTeX
  @article{NULL, author = {Flemisch, Bernd and Melenk, Jens M. and Wohlmuth, Barbara I.}, doi = {10.1016/j.apnum.2004.09.007}, journal = {Applied Numerical Mathematics}, month = {12}, note = {, IWS2ID=2356 }, page = {339-361}, title = {Mortar methods with curved interfaces}, url = {http://www.sciencedirect.com/science/article/pii/S0168927404001837}, volume = 54, year = 2005 }
  Link
  http://www.sciencedirect.com/science/article/pii/S0168927404001837
50. Flemisch, B., Maday, Y., Rapetti, F., & Wohlmuth, B. I. (2005). Scalar and vector potentials’ coupling on nonmatching grids for the simulation of an electromagnetic brake. COMPEL, 24. https://doi.org/10.1108/03321640510571246
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  - Link
  BibTeX
  @article{NULL, author = {Flemisch, Bernd and Maday, Yvon and Rapetti, Francesca and Wohlmuth, Barbara I.}, doi = {10.1108/03321640510571246}, journal = {COMPEL}, month = {12}, note = {, IWS2ID=2365 }, page = {1061-1070}, title = {Scalar and vector potentials' coupling on nonmatching grids for the simulation of an electromagnetic brake}, url = {http://www.emeraldinsight.com/doi/abs/10.1108/03321640510571246}, volume = 24, year = 2005 }
  Link
  http://www.emeraldinsight.com/doi/abs/10.1108/03321640510571246
51. Flemisch, B., Puso, M. A., & Wohlmuth, B. I. (2005). A new dual mortar method for curved interfaces: 2D elasticity. International Journal of Numerical Methods in Engineering, 63. https://doi.org/10.1002/nme.1300
  - BibTeX
  - Link
  BibTeX
  @article{NULL, author = {Flemisch, Bernd and Puso, Michael A. and Wohlmuth, Barbara I.}, doi = {10.1002/nme.1300}, journal = {International Journal of Numerical Methods in Engineering}, month = {12}, note = {, IWS2ID=2357 }, page = {813-832}, title = {A new dual mortar method for curved interfaces: 2D elasticity}, url = {http://onlinelibrary.wiley.com/doi/10.1002/nme.1300/full}, volume = 63, year = 2005 }
  Link
  http://onlinelibrary.wiley.com/doi/10.1002/nme.1300/full
52. Flemisch, B., & Wohlmuth, B. I. (2004). A domain decomposition method on nested domains and nonmatching grids. Numerical Methods for Partial Differential Equations, 20. https://doi.org/10.1002/num.10095
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  - Link
  BibTeX
  @article{NULL, author = {Flemisch, Bernd and Wohlmuth, Barbara I.}, doi = {10.1002/num.10095}, journal = {Numerical Methods for Partial Differential Equations}, month = {12}, note = {, IWS2ID=2355 }, page = {374-387}, title = {A domain decomposition method on nested domains and nonmatching grids}, url = {http://onlinelibrary.wiley.com/doi/10.1002/num.10095/abstract}, volume = 20, year = 2004 }
  Link
  http://onlinelibrary.wiley.com/doi/10.1002/num.10095/abstract
53. Flemisch, B., Maday, Y., Rapetti, F., & Wohlmuth, B. I. (2004). Coupling scalar and vector potentials on non-matching grids for eddy currents modelling in a moving conductor. Journal of Computational and Applied Mathematics, 168. https://doi.org/10.1016/j.cam.2003.05.017
  - BibTeX
  - Link
  BibTeX
  @article{NULL, author = {Flemisch, Bernd and Maday, Yvon and Rapetti, Francesca and Wohlmuth, Barbara I.}, doi = {10.1016/j.cam.2003.05.017}, journal = {Journal of Computational and Applied Mathematics}, month = {12}, note = {, IWS2ID=2363 }, page = {192-205}, title = {Coupling scalar and vector potentials on non-matching grids for eddy currents modelling in a moving conductor}, url = {http://www.sciencedirect.com/science/article/pii/S0377042703009774}, volume = 168, year = 2004 }
  Link
  http://www.sciencedirect.com/science/article/pii/S0377042703009774
Monograhs
1. Scheer, D., Class, H., & Flemisch, B. (2021). Subsurface Environmental Modelling Between Science and Policy. Springer International Publishing. https://doi.org/10.1007/978-3-030-51178-4
  - BibTeX
  - Link
  BibTeX
  @book{lh2-2020-Scheer2021, author = {Scheer, Dirk and Class, Holger and Flemisch, Bernd}, doi = {10.1007/978-3-030-51178-4}, isbn = {978-3-030-51177-7}, issn = {1866-8348}, publisher = {Springer International Publishing}, title = {Subsurface Environmental Modelling Between Science and Policy}, url = {https://doi.org/10.1007/978-3-030-51178-4}, year = 2021 }
  Link
  https://doi.org/10.1007/978-3-030-51178-4
Contributions to anthologies
1. Seeland, A., Timo Koch, T., Hermann, S., & Flemisch, B. (2020). Nachhaltige Infrastruktur zur Integration von Forschungssoftware in Forschungsdatenrepositorien. In V. Heuveline, F. Gebhart, & N. Mohammadianbisheh (Eds.), E-Science-Tage 2019: Data to Knowledge. heiBOOKS. https://doi.org/10.11588/HEIBOOKS.598.C8431
  - BibTeX
  - Link
  BibTeX
  @incollection{datasciencedays2019koch, author = {Seeland, Anett and Timo Koch, Timo and Hermann, Sybille and Flemisch, Bernd}, booktitle = {E-Science-Tage 2019: Data to Knowledge}, doi = {10.11588/HEIBOOKS.598.C8431}, editor = {Heuveline, Vincent and Gebhart, Fabian and Mohammadianbisheh, Nina}, page = {192--193}, publisher = {heiBOOKS}, title = {Nachhaltige Infrastruktur zur Integration von Forschungssoftware in Forschungsdatenrepositorien}, url = {https://books.ub.uni-heidelberg.de/index.php/heibooks/catalog/book/598/c8431}, year = 2020 }
  Link
  https://books.ub.uni-heidelberg.de/index.php/heibooks/catalog/book/598/c8431
2. Schneider, M., Gläser, D., Flemisch, B., & Helmig, R. (2017). Nonlinear finite-volume scheme for complex flow processes on corner-point grids. In Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, 12.06.2017 - 16.06.2017, Lille. Springer-Verlag. https://link.springer.com/chapter/10.1007/978-3-319-57394-6_44
  - BibTeX
  - Link
  BibTeX
  @incollection{NULL, author = {Schneider, Martin and Gläser, Dennis and Flemisch, Bernd and Helmig, Rainer}, booktitle = {Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, 12.06.2017 - 16.06.2017, Lille}, month = {06}, note = {, IWS2ID=4425 }, publisher = {Springer-Verlag}, title = {Nonlinear finite-volume scheme for complex flow processes on corner-point grids}, url = {https://link.springer.com/chapter/10.1007/978-3-319-57394-6_44}, year = 2017 }
  Link
  https://link.springer.com/chapter/10.1007/978-3-319-57394-6_44
3. Wolff, M., Cao, Y., Flemisch, B., Helmig, R., & Wohlmuth, B. I. (2013). Multi-point flux approximation L-method in 3D: Numerical convergence and application to two-phase flow through porous media (P. Bastian, J. Kraus, & M. Scheichl, R. & Wheeler, Eds.; No. 12; Issue 12). De Gruyter. https://www.degruyter.com/view/product/182024
  - BibTeX
  - Link
  BibTeX
  @incollection{NULL, author = {Wolff, Markus and Cao, Yufei and Flemisch, Bernd and Helmig, Rainer and Wohlmuth, Barbara I.}, editor = {Bastian, P and Kraus, J and {Scheichl, R. & Wheeler}, M.}, month = {07}, note = {, IWS2ID=2835 }, number = 12, publisher = {De Gruyter}, title = {Multi-point flux approximation L-method in 3D: Numerical convergence and application to two-phase flow through porous media}, url = {https://www.degruyter.com/view/product/182024}, year = 2013 }
  Link
  https://www.degruyter.com/view/product/182024
4. Helmig, R., Niessner, J., Flemisch, B., Wolff, M., & Fritz, J. (2010). Efficient modelling of flow and transport in porous media using multi-physics and multi-scale approaches. In W. Freeden, Z. Nashed, & and T. Sonar (Eds.), Handbook of Geomathematics. Springer-Verlag. https://www.springer.com/mathematics/applications/book/978-3-642-01545-8
  - BibTeX
  - Link
  BibTeX
  @incollection{NULL, author = {Helmig, Rainer and Niessner, Jennifer and Flemisch, Bernd and Wolff, Markus and Fritz, Jochen}, booktitle = {Handbook of Geomathematics}, editor = {Freeden, W and Nashed, Z and and T. Sonar}, month = {12}, note = {, IWS2ID=2511 }, page = {417-458}, publisher = {Springer-Verlag}, title = {Efficient modelling of flow and transport in porous media using multi-physics and multi-scale approaches}, url = {https://www.springer.com/mathematics/applications/book/978-3-642-01545-8}, year = 2010 }
  Link
  https://www.springer.com/mathematics/applications/book/978-3-642-01545-8
5. Flemisch, B., & Wohlmuth, B. I. (2006). Nonconforming discretization techniques for coupled problems. In R. Helmig & B. Mielke, Alexanderand Wohlmuth (Eds.), Multifield Problems in Solid and Fluid Mechanics (No. 28; Issue 28). Springer-Verlag. https://link.springer.com/chapter/10.1007/978-3-540-34961-7_16
  - BibTeX
  - Link
  BibTeX
  @incollection{NULL, author = {Flemisch, Bernd and Wohlmuth, Barbara I.}, booktitle = {Multifield Problems in Solid and Fluid Mechanics}, editor = {Helmig, Rainer and {Mielke, Alexanderand Wohlmuth}, Barbara}, month = {12}, note = {, IWS2ID=2353 }, number = 28, page = {531-560}, publisher = {Springer-Verlag}, title = {Nonconforming discretization techniques for coupled problems}, url = {https://link.springer.com/chapter/10.1007/978-3-540-34961-7_16}, year = 2006 }
  Link
  https://link.springer.com/chapter/10.1007/978-3-540-34961-7_16
Conference papers
1. Fetzer, T., Grüninger, C., Flemisch, B., & Helmig, R. (2017, June). On the Conditions for Coupling Free Flow and Porous Medium Flow in a Finite Volume Framework. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, 12.06.2017 - 16.06.2017, Lille. https://doi.org/10.1007/978-3-319-57394-6_37
  - BibTeX
  BibTeX
  @inproceedings{NULL, author = {Fetzer, Thomas and Grüninger, Christoph and Flemisch, Bernd and Helmig, Rainer}, booktitle = {Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, 12.06.2017 - 16.06.2017, Lille}, doi = {10.1007/978-3-319-57394-6_37}, month = {06}, note = {, IWS2ID=4418 }, page = {347--356}, publisher = {Springer-Verlag}, title = {On the Conditions for Coupling Free Flow and Porous Medium Flow in a Finite Volume Framework}, type = {Proceedings}, year = 2017 }
2. Flemisch, B., Fumagalli, A., & Scotti, A. (2016, January). A review of the XFEM-based approximation of flow in fractured porous media. X-DMS 2015 EXtended Discretization MethodS, 09.09.2015 - 11.09.2015, Ferrara, Italy. https://www.mate.polimi.it/biblioteca/add/qmox/10-2016.pdf
  - BibTeX
  - Link
  BibTeX
  @inproceedings{NULL, author = {Flemisch, Bernd and Fumagalli, Alessio and Scotti, Anna}, booktitle = {X-DMS 2015 eXtended Discretization MethodS, 09.09.2015 - 11.09.2015, Ferrara, Italy}, month = {01}, note = {, IWS2ID=4352 }, publisher = {Springer-Verlag}, title = {A review of the XFEM-based approximation of flow in fractured porous media}, url = {https://www.mate.polimi.it/biblioteca/add/qmox/10-2016.pdf}, year = 2016 }
  Link
  https://www.mate.polimi.it/biblioteca/add/qmox/10-2016.pdf
3. Flemisch, B., & Helmig, R. (2008). Numerical investigation of a mimetic finite difference method. In R. Eymard & J. M. Hérard (Eds.), Finite volumes for complex applications V - problems and perspectives, 08.06.2008 - 13.06.2008, Aussois, France. Wiley - VCH Verlag. https://www.iste.co.uk/index.php?p=a&ACTION=View&id=220
  - BibTeX
  - Link
  BibTeX
  @inproceedings{NULL, author = {Flemisch, Bernd and Helmig, Rainer}, booktitle = {Finite volumes for complex applications V - problems and perspectives, 08.06.2008 - 13.06.2008, Aussois, France}, editor = {Eymard, R. and Hérard, J.M.}, month = {06}, note = {, IWS2ID=2478 }, page = {815-824}, publisher = {Wiley - VCH Verlag}, title = {Numerical investigation of a mimetic finite difference method}, url = {https://www.iste.co.uk/index.php?p=a&ACTION=View&id=220}, year = 2008 }
  Link
  https://www.iste.co.uk/index.php?p=a&ACTION=View&id=220
4. Flemisch, B., Fritz, J., Helmig, R., Niessner, J., & Wohlmuth, B. I. (2007). DUMUX: a multi-scale multi-physics toolbox for flow and transport processes in porous media. In A. Ibrahimbegovic & F. Dias (Eds.), ECCOMAS Thematic Conference on Multi-scale Computational Methods for Solids and Fluids, 28.11.2007 - 30.11.2007, Paris, France. https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/cachan_flemisch.pdf
  - BibTeX
  - Link
  BibTeX
  @inproceedings{NULL, author = {Flemisch, Bernd and Fritz, Jochen and Helmig, Rainer and Niessner, Jennifer and Wohlmuth, Barbara I.}, booktitle = {ECCOMAS Thematic Conference on Multi-scale Computational Methods for Solids and Fluids, 28.11.2007 - 30.11.2007, Paris, France}, editor = {Ibrahimbegovic, A. and Dias, F.}, month = {11}, note = {, date=29.11.2007, IWS2ID=2354 }, page = {82-87}, title = {DUMUX: a multi-scale multi-physics toolbox for flow and transport processes in porous media}, url = {https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/cachan_flemisch.pdf}, year = 2007 }
  Link
  https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/cachan_flemisch.pdf
5. Flemisch, B., Kaltenbacher, M., & Wohlmuth, B. I. (2007, March). Elasto-Akustik-Kopplung auf nichtkonformen Gittern. DAGA, 19.03.2007 - 22.03.2007, Stuttgart.
  - BibTeX
  BibTeX
  @inproceedings{NULL, author = {Flemisch, Bernd and Kaltenbacher, Manfred and Wohlmuth, Barbara I.}, booktitle = {DAGA, 19.03.2007 - 22.03.2007, Stuttgart}, month = {03}, note = {, IWS2ID=2361 }, title = {Elasto-Akustik-Kopplung auf nichtkonformen Gittern}, year = 2007 }
6. Flemisch, B., & Wohlmuth, B. I. (2007). Nonconforming methods for nonlinear elasticity problems. In O. Widlund & D. Keyes (Eds.), Domain Decomposition Methods in Science and Engineering XVI, 12.01.2005 - 15.01.2005, New York (No. 55; Issue 55). Springer-Verlag. https://link.springer.com/chapter/10.1007/978-3-540-34469-8_6
  - BibTeX
  - Link
  BibTeX
  @inproceedings{NULL, author = {Flemisch, Bernd and Wohlmuth, Barbara I.}, booktitle = {Domain Decomposition Methods in Science and Engineering XVI, 12.01.2005 - 15.01.2005, New York}, editor = {Widlund, O. and Keyes, D.}, month = {01}, note = {, IWS2ID=2360 }, number = 55, page = {65-76}, publisher = {Springer-Verlag}, title = {Nonconforming methods for nonlinear elasticity problems}, url = {https://link.springer.com/chapter/10.1007/978-3-540-34469-8_6}, year = 2007 }
  Link
  https://link.springer.com/chapter/10.1007/978-3-540-34469-8_6
7. Flemisch, B., Kaltenbacher, M., & Wohlmuth, B. I. (2006, March). Finite-Elemente-Verfahren zur präzisen numerischen Berechnung von Schallentstehung und Ausbreitung (CD-ROM). DAGA, 20.03.2006 - 23.03.2006, Braunschweig.
  - BibTeX
  BibTeX
  @inproceedings{NULL, author = {Flemisch, Bernd and Kaltenbacher, Manfred and Wohlmuth, Barbara I.}, booktitle = {DAGA, 20.03.2006 - 23.03.2006, Braunschweig}, month = {03}, note = {, IWS2ID=2367 }, page = {393-394}, title = {Finite-Elemente-Verfahren zur präzisen numerischen Berechnung von Schallentstehung und Ausbreitung (CD-ROM)}, year = 2006 }
8. Flemisch, B., Mair, M., & Wohlmuth, B. I. (2004). Nonconforming discretization techniques for overlapping domain decompositions. In M. Feistauer (Ed.), ENUMATH 2003, 18.08.2003 - 22.08.2003, Prague, Czech Republic. Springer-Verlag. https://link.springer.com/chapter/10.1007/978-3-642-18775-9_29
  - BibTeX
  - Link
  BibTeX
  @inproceedings{NULL, author = {Flemisch, Bernd and Mair, Michael and Wohlmuth, Barbara I.}, booktitle = {ENUMATH 2003, 18.08.2003 - 22.08.2003, Prague, Czech Republic}, editor = {Feistauer, M. et al.}, month = {08}, note = {, date=19.08.2003, IWS2ID=2352 , Institution: ECCOMAS }, page = {316-325}, publisher = {Springer-Verlag}, title = {Nonconforming discretization techniques for overlapping domain decompositions}, url = {https://link.springer.com/chapter/10.1007/978-3-642-18775-9_29}, year = 2004 }
  Link
  https://link.springer.com/chapter/10.1007/978-3-642-18775-9_29
Theses
1. Flemisch, B. (2001). The alternating Schwarz method: mathematical foundation and parallel implementation [Masterthesis].
  - BibTeX
  BibTeX
  @mastersthesis{NULL, author = {Flemisch, Bernd}, month = {08}, note = {, IWS2ID=2350 , Institution: Institut für Wasserbau , Address: Universität Stuttgart }, school = {Universität Stuttgart, Institut für Wasserbau}, title = {The alternating Schwarz method: mathematical foundation and parallel implementation}, type = {Masterthesis}, year = 2001 }
PhDs
1. Flemisch, B. (2013). Tackling Coupled Problems in Porous Media: Development of Numerical Models and an Open Source Simulator [Habilitationsschrift, Universität Stuttgart, Institut für Wasser- und Umweltsystemmodellierung]. https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2013/flemisch_habil.pdf
  - BibTeX
  - Link
  BibTeX
  @phdthesis{NULL, author = {Flemisch, Bernd}, month = {07}, note = {, date=18.07.2013, IWS2ID=2860 , Institution: Institut für Wasser- und Umweltsystemmodellierung , Address: Universität Stuttgart }, school = {Universität Stuttgart, Institut für Wasser- und Umweltsystemmodellierung}, title = {Tackling Coupled Problems in Porous Media: Development of Numerical Models and an Open Source Simulator}, type = {Habilitationsschrift}, url = {https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2013/flemisch_habil.pdf}, year = 2013 }
  Link
  https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/2013/flemisch_habil.pdf
2. Flemisch, B. (2006). Non-matching triangulations of curvilinear interfaces applied to electro-mechanics and elasto-acoustics [Promotionsschrift, Universität Stuttgart, Institut für Wasserbau]. https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/flemisch_thesis.pdf
  - BibTeX
  - Link
  BibTeX
  @phdthesis{NULL, author = {Flemisch, Bernd}, month = {12}, note = {, IWS2ID=2351 , Institution: Institut für Wasserbau , Address: Universität Stuttgart }, school = {Universität Stuttgart, Institut für Wasserbau}, title = {Non-matching triangulations of curvilinear interfaces applied to electro-mechanics and elasto-acoustics}, type = {Promotionsschrift}, url = {https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/flemisch_thesis.pdf}, year = 2006 }
  Link
  https://www.iws.uni-stuttgart.de/publikationen/hydrosys/paper/flemisch_thesis.pdf
Conference Reports
1. Dedner, A., Flemisch, B., & Klöfkorn, R. (2012). Advances in DUNE. Springer-Verlag. http://link.springer.com/book/10.1007/978-3-642-28589-9
  - BibTeX
  - Link
  BibTeX
  @proceedings{NULL, author = {Dedner, Andreas and Flemisch, Bernd and Klöfkorn, Robert}, month = {01}, note = {Proceedings of the DUNE User Meeting, October 6th-8th 2010 in Stuttgart, Germany, IWS2ID=4349 , Institution: Institut für Wasser- und Umweltsystemmodellierung , Address: Universität Stuttgart }, publisher = {Springer-Verlag}, title = {Advances in DUNE}, url = {http://link.springer.com/book/10.1007/978-3-642-28589-9}, year = 2012 }
  Link
  http://link.springer.com/book/10.1007/978-3-642-28589-9
Research Reports
1. Grüninger, C., Fetzer, T., Flemisch, B., & Helmig, R. (2017). Coupling DuMuX and DUNE-PDELab to investigate evaporation at the interface between Darcy and Navier-Stokes flow. In Archive of Numerical Software (No. 2017–1; Archive of Numerical Software, Issues 2017–1). https://doi.org/10.18419/opus-9360
  - BibTeX
  BibTeX
  @techreport{NULL, author = {Grüninger, Christoph and Fetzer, Thomas and Flemisch, Bernd and Helmig, Rainer}, doi = {10.18419/opus-9360}, journal = {Archive of Numerical Software}, month = {11}, note = {, IWS2ID=4391 }, number = {2017-1}, page = {16}, title = {Coupling DuMuX and DUNE-PDELab to investigate evaporation at the interface between Darcy and Navier-Stokes flow}, year = 2017 }
2. Darcis, M., Flemisch, B., & Class, H. (2012). CO2-MoPa -- Kopplung von DuMux und OGS zur Verifikation der OGS-Eclipse Kopplung -- Untersuchung von zeitlichen und räumlichen Modellkopplungsstrategien zur Effizienzsteigerung (Bericht 10/12; Vol. LH221, Issue 10/12).
  - BibTeX
  BibTeX
  @techreport{NULL, author = {Darcis, Melanie and Flemisch, Bernd and Class, Holger}, month = {07}, note = {, IWS2ID=2824 , Institution: Institut für Wasserbau , Address: Universität Stuttgart }, number = {10/12}, title = {CO2-MoPa -- Kopplung von DuMux und OGS zur Verifikation der OGS-Eclipse Kopplung -- Untersuchung von zeitlichen und räumlichen Modellkopplungsstrategien zur Effizienzsteigerung}, type = {Bericht}, volume = {LH221}, year = 2012 }
3. Flemisch, B., Kurz, S., & Wohlmuth, B. I. (2006). A framework for Maxwell’s equations in non-inertial frames based on differential forms (0 2006/011; Issue 2006/011). https://preprints.ians.uni-stuttgart.de/downloads/2006/2006-011.pdf
  - BibTeX
  - Link
  BibTeX
  @techreport{NULL, author = {Flemisch, Bernd and Kurz, Stefan and Wohlmuth, Barbara I.}, month = {12}, note = {, IWS2ID=2366 , Institution: Universität Stuttgart }, number = {2006/011}, title = {A framework for Maxwell's equations in non-inertial frames based on differential forms}, type = 0, url = {https://preprints.ians.uni-stuttgart.de/downloads/2006/2006-011.pdf}, year = 2006 }
  Link
  https://preprints.ians.uni-stuttgart.de/downloads/2006/2006-011.pdf

Talks

2014
1. B. Flemisch, “It’s no disgrace to be conservative: state-of-the-art discretization methods for porous media flow problems,” SimTech-Kolloquium, 25.06.2014, Stuttgart. Jun. 2014.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd}, booktitle = {SimTech-Kolloquium, 25.06.2014, Stuttgart}, month = {6}, note = {, date=25.06.2014, IWS2ID=2963 }, title = {It's no disgrace to be conservative: state-of-the-art discretization methods for porous media flow problems}, type = {Vortrag}, year = 2014 }
2013
1. B. Flemisch, K. Flornes, K.-A. Lie, A. Rasmussen, and A. B. Rustad, “Reservoir Simulation Tools developed within the Open Porous Media (OPM) Initiative,” SIAM Mathematical and Computational Issues in the Geosciences, 17.06.2013 - 20.06.2013, Padua, Italy. Jun. 2013.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Flornes, Kristin and Lie, Knut-Andreas and Rasmussen, Atgeirr and Rustad, Alf Birger}, booktitle = {SIAM Mathematical and Computational Issues in the Geosciences, 17.06.2013 - 20.06.2013, Padua, Italy}, month = {6}, note = {, date=19.06.2013, IWS2ID=2962 }, title = {Reservoir Simulation Tools developed within the Open Porous Media (OPM) Initiative}, type = {Konferenzbeitrag}, year = 2013 }
2. B. Flemisch et al., “Coupling Approaches, Risk Assessment and History Matching for CO2 Storage Modeling,” Mamern V, 22.04.2013 - 25.04.2013, Granada, Spain. Apr. 2013.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Class, Holger and Darcis, Melanie and Faigle, Benjamin and Hommel, Johannes and Kissinger, Alexander and Oladyshkin, Sergey and Walter, Lena and Helmig, Rainer}, booktitle = {Mamern V, 22.04.2013 - 25.04.2013, Granada, Spain}, month = {4}, note = {, date=24.04.2013, IWS2ID=2961 }, title = {Coupling Approaches, Risk Assessment and History Matching for CO2 Storage Modeling}, type = {Vortrag}, year = 2013 }
3. B. Flemisch, “Tackling Coupled Problems in Porous Media: Development of Numerical Models and an Open Source Simulator,” IANS Oberseminar, 11.04.2013, Stuttgart. Apr. 2013.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd}, booktitle = {IANS Oberseminar, 11.04.2013, Stuttgart}, month = {4}, note = {, date=11.04.2013, IWS2ID=2960 }, title = {Tackling Coupled Problems in Porous Media: Development of Numerical Models and an Open Source Simulator}, type = {Seminar}, year = 2013 }
4. B. Flemisch et al., “The Dumux Simulation Software and its Applicability to Adaptive Multi-scale Modeling and CO2 Reservoir Simulation,” Hcube Meeting, 31.01.2013, Paris, France. Jan. 2013.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Class, Holger and Wolff, Markus and Darcis, Melanie and Helmig, Rainer and Hommel, Johannes and Kissinger, Alexander and Walter, Lena}, booktitle = {Hcube Meeting, 31.01.2013, Paris, France}, month = {1}, note = {, date=31.01.2013, IWS2ID=2959 }, title = {The Dumux Simulation Software and its Applicability to Adaptive Multi-scale Modeling and CO2 Reservoir Simulation}, type = {Vortrag}, year = 2013 }
5. B. Flemisch, “Open-Source Simulators: a Solution for the Reproducibility Problem in Computational Science and Engineering?,” Habilitationskolloquium, 18.07.2013, Stuttgart. Jul. 2013.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd}, booktitle = {Habilitationskolloquium, 18.07.2013, Stuttgart}, month = {7}, note = {, date=18.07.2013, IWS2ID=2958 }, title = {Open-Source Simulators: a Solution for the Reproducibility Problem in Computational Science and Engineering?}, type = {Vortrag}, year = 2013 }
6. B. Flemisch, M. Wolff, and B. Faigle, “Multi-Point Flux Approximation on Parallel Adaptive DUNE Grids,” 2nd DUNE User Meeting, 25.09.2013 - 26.09.2013, Aachen. Sep. 2013.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Wolff, Markus and Faigle, Benjamin}, booktitle = {2nd DUNE User Meeting, 25.09.2013 - 26.09.2013, Aachen}, month = {9}, note = {, date=25.09.2013, IWS2ID=2957 }, title = {Multi-Point Flux Approximation on Parallel Adaptive DUNE Grids}, type = {Workshopbeitrag}, year = 2013 }
2012
1. B. Flemisch, K. Flornes, and K.-A. Lie, “OPM: The Open Porous Media Initiative,” 4th International Conference on Porous Media & Annual Meeting - InterPore 2012, 14.05.2012 - 16.05.2012, Purdue University, West Lafayette, USA. May 2012.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Flornes, Kristin and Lie, Knut-Andreas}, booktitle = {4th International Conference on Porous Media & Annual Meeting - InterPore 2012, 14.05.2012 - 16.05.2012, Purdue University, West Lafayette, USA}, month = {5}, note = {, date=16.05.2012, IWS2ID=2956 }, title = {OPM: The Open Porous Media Initiative}, type = {Konferenzbeitrag}, year = 2012 }
2. B. Flemisch, A. Lauser, C. Hager, and B. I. Wohlmuth, “A new fully implicit numerical model for miscible multi-phase flow in porous media,” Oberseminar Numerische Mathematik der FU Berlin, 23.01.2012, Berlin. Jan. 2012.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Lauser, Andreas and Hager, Corinna and Wohlmuth, Barbara I.}, booktitle = {Oberseminar Numerische Mathematik der FU Berlin, 23.01.2012, Berlin}, month = {1}, note = {, date=23.01.2012, IWS2ID=2955 }, title = {A new fully implicit numerical model for miscible multi-phase flow in porous media}, type = {Seminar}, year = 2012 }
3. B. Flemisch, M. Darcis, R. Helmig, H. Class, A. Ebigbo, and M. Wolff, “Model Coupling for Multi-phase Flow in Porous Media,” Domain Decomposition Methods in Science and Engineering, 25.06.2012 - 29.06.2012, Rennes, Frankreich. Jun. 2012.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Darcis, Melanie and Helmig, Rainer and Class, Holger and Ebigbo, Anozie and Wolff, Markus}, booktitle = {Domain Decomposition Methods in Science and Engineering, 25.06.2012 - 29.06.2012, Rennes, Frankreich}, month = {6}, note = {, date=27.06.2012, IWS2ID=2954 }, title = {Model Coupling for Multi-phase Flow in Porous Media}, type = {Konferenzbeitrag}, year = 2012 }
2011
1. B. Flemisch, F. Bode, and J. Braun, “Thermisch genutzte P&T-Anlagen - Chancen und Risiken,” VEGAS-Kolloquium 2011, 06.10.2011, Stuttgart. Oct. 2011.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Bode, Felix and Braun, Jürgen}, booktitle = {VEGAS-Kolloquium 2011, 06.10.2011, Stuttgart}, month = {10}, note = {, date=06.10.2011, IWS2ID=2953 }, title = {Thermisch genutzte P&T-Anlagen - Chancen und Risiken}, type = {Vortrag}, year = 2011 }
2. B. Flemisch and S. Müthing, “The Distributed and Unified Numerics Environment DUNE and its Application to Porous Media with Dumux,” SIAM Conference on Mathematical & Computational Issues in the Geosciences, 21.03.2011 - 24.03.2011, Long Beach, California, USA. Mar. 2011.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Müthing, Steffen}, booktitle = {SIAM Conference on Mathematical & Computational Issues in the Geosciences, 21.03.2011 - 24.03.2011, Long Beach, California, USA}, month = {3}, note = {, date=22.03.2011, IWS2ID=2952 }, title = {The Distributed and Unified Numerics Environment DUNE and its Application to Porous Media with Dumux}, type = {Konferenzbeitrag}, year = 2011 }
3. B. Flemisch, “Model Coupling for CO2 Sequestration Scenarios,” SIAM Conference on Mathematical & Computational Issues in the Geosciences, 21.03.2011 - 24.03.2011, Long Beach, California, USA. Mar. 2011.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd}, booktitle = {SIAM Conference on Mathematical & Computational Issues in the Geosciences, 21.03.2011 - 24.03.2011, Long Beach, California, USA}, month = {3}, note = {, date=24.03.2011, IWS2ID=2951 }, title = {Model Coupling for CO2 Sequestration Scenarios}, type = {Konferenzbeitrag}, year = 2011 }
4. B. Flemisch, K. Flornes, and K.-A. Lie, “OPM: The Open Porous Media Initiative,” AGU Fall Meeting 2011, 05.12.2011 - 09.12.2011, San Francisco, USA. Dec. 2011.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Flornes, Kristin and Lie, Knut-Andreas}, booktitle = {AGU Fall Meeting 2011, 05.12.2011 - 09.12.2011, San Francisco, USA}, month = {12}, note = {, date=09.12.2011, IWS2ID=2950 }, title = {OPM: The Open Porous Media Initiative}, type = {Konferenzbeitrag}, year = 2011 }
5. B. Flemisch, M. Darcis, and H. Class, “Multi-physics Approaches for Hydro-Geomechanical Coupling in CO2 Storage,” AGU Fall Meeting 2011, 05.12.2011 - 09.12.2011, San Francisco, USA. Dec. 2011.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Darcis, Melanie and Class, Holger}, booktitle = {AGU Fall Meeting 2011, 05.12.2011 - 09.12.2011, San Francisco, USA}, month = {12}, note = {, date=09.12.2011, IWS2ID=2949 }, title = {Multi-physics Approaches for Hydro-Geomechanical Coupling in CO2 Storage}, type = {Konferenzbeitrag}, year = 2011 }
2010
1. B. Flemisch, H. Class, M. Darcis, A. Ebigbo, R. Helmig, and L. Walter, “Simulation of CO2 Storaging in the Subsurface Hydrosystem,” 4th IGSSE Forum, 14.06.2010 - 18.06.2010, Burghausen. Jun. 2010.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Class, Holger and Darcis, Melanie and Ebigbo, Anozie and Helmig, Rainer and Walter, Lena}, booktitle = {4th IGSSE Forum, 14.06.2010 - 18.06.2010, Burghausen}, month = {6}, note = {, date=17.06.2010, IWS2ID=2948 }, title = {Simulation of CO2 Storaging in the Subsurface Hydrosystem}, type = {Vortrag}, year = 2010 }
2. B. Flemisch, “The Importance of Linear vs Nonlinear Solvers,” Workshop on Multiscale Methods, 23.02.2010 - 25.02.2010, Geilo, Norwegen. Feb. 2010.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd}, booktitle = {Workshop on Multiscale Methods, 23.02.2010 - 25.02.2010, Geilo, Norwegen}, month = {2}, note = {, date=25.02.2010, IWS2ID=2947 }, title = {The Importance of Linear vs Nonlinear Solvers}, type = {Workshopbeitrag}, year = 2010 }
2009
1. B. Flemisch, “Dumux: Dune for Multi-Phase, Component, Scale, Physics, ... Flow and Transport in Porous Media,” Oberseminar des Instituts für Informatik, 09.12.2009, München. Dec. 2009.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd}, booktitle = {Oberseminar des Instituts für Informatik, 09.12.2009, München}, month = {12}, note = {, date=09.12.2009, IWS2ID=2946 }, title = {Dumux: Dune for Multi-Phase, Component, Scale, Physics, ... Flow and Transport in Porous Media}, type = {Seminar}, year = 2009 }
2. B. Flemisch, R. Helmig, B. I. Wohlmuth, K. Mosthaf, I. Rybak, and T. Leijnse, “A New Concept for the Coupling of Multiphase Compositional Porous Media Flow with Singlephase Compositional Free Flow,” International Academic Seminar on Multiscale Flow Simulation in Porous Media, 21.11.2009 - 23.11.2009, Qingdao, China. Nov. 2009.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Helmig, Rainer and Wohlmuth, Barbara I. and Mosthaf, Klaus and Rybak, Iryna and Leijnse, Toon}, booktitle = {International Academic Seminar on Multiscale Flow Simulation in Porous Media, 21.11.2009 - 23.11.2009, Qingdao, China}, month = {11}, note = {, date=22.11.2009, IWS2ID=2945 }, title = {A New Concept for the Coupling of Multiphase Compositional Porous Media Flow with Singlephase Compositional Free Flow}, type = {Workshopbeitrag}, year = 2009 }
3. B. Flemisch, H. Class, M. Darcis, and R. Helmig, “Kopplung von Dumux und GeoSys/RockFlow zur Verifikation der ECLIPSE-GeoSys-Kopplung,” CO2-MoPa Statusseminar, 27.01.2009 - 29.01.2009, Kiel. Jan. 2009.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Class, Holger and Darcis, Melanie and Helmig, Rainer}, booktitle = {CO2-MoPa Statusseminar, 27.01.2009 - 29.01.2009, Kiel}, month = {1}, note = {, date=28.01.2009, IWS2ID=2476 }, title = {Kopplung von Dumux und GeoSys/RockFlow zur Verifikation der ECLIPSE-GeoSys-Kopplung}, type = {Seminar}, year = 2009 }
2008
1. B. Flemisch, C. Fehmi, and B. I. Wohlmuth, “Solid with an immersed thin beam,” ECCOMAS 2008, WCCM 8, 30.06.2008 - 04.07.2008, Venedig, Italien. Jul. 2008.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Fehmi, Cirak and Wohlmuth, Barbara I.}, booktitle = {ECCOMAS 2008, WCCM 8, 30.06.2008 - 04.07.2008, Venedig, Italien}, month = {7}, note = {, date=03.07.2008, IWS2ID=2483 }, title = {Solid with an immersed thin beam}, type = {Konferenzbeitrag}, year = 2008 }
2. B. Flemisch, J. Fritz, R. Helmig, and J. Niessner, “Multi-scale multi-physics modeling of flow and transport processes in porous media,” Numerical Analysis Seminar, Texas A&M University, College Station, Texas, USA. May 2008.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Fritz, Jochen and Helmig, Rainer and Niessner, Jennifer}, booktitle = {Numerical Analysis Seminar, Texas A&M University, College Station, Texas, USA}, month = {5}, note = {, date=21.05.2008, IWS2ID=2482 }, title = {Multi-scale multi-physics modeling of flow and transport processes in porous media}, type = {Seminar}, year = 2008 }
3. B. Flemisch, J. Fritz, R. Helmig, J. Niessner, and M. Wolff, “Multi-scale multi-physics: current and future approach,” Workshop on multiscale methods, 03.12.2008 - 05.12.2008, Geilo, Norwegen. Dec. 2008.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Fritz, Jochen and Helmig, Rainer and Niessner, Jennifer and Wolff, Markus}, booktitle = {Workshop on multiscale methods, 03.12.2008 - 05.12.2008, Geilo, Norwegen}, month = {12}, note = {, date=05.12.2008, IWS2ID=2479 }, title = {Multi-scale multi-physics: current and future approach}, type = {Workshopbeitrag}, year = 2008 }
4. B. Flemisch, J. Fritz, R. Helmig, and J. Niessner, “Multi-scale multi-physics modeling of flow and transport processes in porous media,” ICES Seminar, University of Texas, 20.05.2008, Austin, Texas, USA. May 2008.
  - BibTeX
  BibTeX
  @misc{NULL, author = {Flemisch, Bernd and Fritz, Jochen and Helmig, Rainer and Niessner, Jennifer}, booktitle = {ICES Seminar, University of Texas, 20.05.2008, Austin, Texas, USA}, month = {5}, note = {, date=20.05.2008, IWS2ID=2477 }, title = {Multi-scale multi-physics modeling of flow and transport processes in porous media}, type = {Seminar}, year = 2008 }

Current research projects

SFB1313, INF: Research Data Management and Research Software Engineering
Duration: 01/2022 - 12/2025
Departments: LH2 and VISUS
Leaders: Bernd Flemisch, Guido Reina, Martin Schneider
Funding: DFG
EXC 2075: Coupled flow, transport, and geochemical processes in fractures/fissures with a focus on geothermal and karstic systems
Duration: 10/2021 - 12/2024
Department: LH2
Leader: Rainer Helmig, Holger Class, Bernd Flemisch
Funding: DFG
NFDI4Ing, Task Area Betty: Engineering Research Software
Laufzeit: 10/2020 - 09/2025
Abteilung: LH2
Leitung: Bernd Flemisch
Finanzierung: DFG
EXC 2075, PN 1-6: Upscaling of two-phase porous media flow based on fluid morphology
Duration: 01/2020 - 06/2023
Department: LH2
Leaders: Carina Bringedal, Bernd Flemisch
Funding: DFG
EXC 2075, PN 5-2A: Data-driven optimisation algorithms for local dynamic model adaptivity
Duration: 10/2019 - 03/2023
Department: LH2
Leader: Bernd Flemisch
Funding: DFG
RADIOMOD: Modelling of hydrodynamics and mass transport for water-bound transport processes
Duration: 09/2019 - 08/2022
Department: LH2
Leaders: Bernd Flemisch, Holger Class
Funding: BfS
SUSI: Sustainable infrastructure for the improved usability and archivability of research software on the example of the porous-media-simulator Dumux
Duration: 02/2019 - 09/2022
Department: LH2
Leader: Bernd Flemisch
Funding: DFG
SFB 1313, D03: Development and realisation of validation benchmarks
Duration: 01/2018 - 12/2025
Departments: LH2 and LS3
Leaders: Bernd Flemisch, Sergey Oladyshkin
Funding: DFG

Bernd Flemisch

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