Ivan Yotov's Teaching and Research Activities in Stuttgart
During his two-month stay he gave the following talk and the following course:
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SimTech Colloquium: “Mathematical and computational modeling of fluid-poroelastic structure interaction” (10th May 2023).
- a short course on "Discretization methods for multiphysics couplings of fluid flow and solid mechanics" from 15th May to 14th June 2023). The short course presented an introduction to finite element and finite volume methods for Darcy flow, Stokes flow, elasticity, poroelasticity, and coupled Stokes-Darcy flows. Prof. Yotov discussed solvability, accuracy, and efficiency of the numerical methods. The focus was on structure preserving methods, e.g., methods with local mass or momentum conservation. He also presented domain decomposition methods for the efficient solution of the resulting algebraic systems, which allow for decoupling of different subdomains and different physics and are suitable for parallel computers. The course was attended by graduate students and postdocs from several different departments.
Joint Research Projects
- A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy (with W. Boon, D. Glaser, R. Helmig, K. Weishaupt).
- Mortar domain decomposition for coupled free fluid flow with pore network model (with D. Glaser and R. Helmig).
- Vertex-centered finite volume and mimetic finite difference methods for Darcy, Stokes, and Stokes-Darcy flows (with R. Helmig and M. Schneider).
- A fractional time step method for the Navier-Stokes equations using a second order multipoint stress mixed finite element method (with R. Helmig ang C. Arico).
In addition, he serves as a PhD student mentor for Melanie Lipp.
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