Peter Knabner from the Friedrich-Alexander University Erlangen-Nürnberg will give a lecture at the University of Stuttgart during the summer semester 2021, starting in April:
About the lecture
This novel course addresses master and PhD students with basic knowledge and experience in continuum mechanics, based mathematical modeling, and numerical simulations of natural or technical processes. Its goal is to provide or refresh or widen the necessary background information from mathematics, both concerning model formulation and validity and discretization and solution methods. Due to this wide span, the lecture can only touch selected topics, also relying on the active reading activity of the participants. In particular, specific interests and questions of the participants can be addressed in the discussion hours. Examples of questions which may come up and be discussed are:
- Is my model thermodynamically consistent ?
- What means mathematically rigorous or formal, what are the consequences?
- What am I allowed to do with which functions?
- What is a good discretization method?
- Is my discretization locally mass conservative, if not, what to do?
The course will be webex- based and take place 3 semester hours/week (lectures: 2 semester hours/week; reading discussion: 1 semester hour/week). The exact dates will be announced soon. For better planning, interested master and doctoral students may directly send an e-mail to email@example.com. Please indicate your interest and also, if necessary, which dates are impossible for you.
About Peter Knabner
Prof. Dr. Peter Knabner works in the field of Applied Analysis and Numerical Mathematics. After his Abitur in 1972, he studied mathematics at the Free University of Berlin and computer science at the Technical University of Berlin. After his diploma, he dealt for example with free boundary value problems and received his doctorate in 1983 at the University of Augsburg. There he habilitated in 1988 on mathematical models for transport and sorption of dissolved substances in porous media. Since 1994 he holds the chair of applied mathematics at the Friedrich-Alexander University Erlangen-Nürnberg.
Since the 1980s he has concentrated on the derivation, analysis and numerical approximation of mathematical models for flow and transport in porous media, with the aim of contributing to mathematics as well as to the concerned applications in engineering and natural sciences, in particular hydrogeology. The spectrum meanwhile extends to multiphase multicomponent flows, with vanishing/developing phases, general chemical reactions and effects of evolving microstructure on porous media flow.