2024-06-09 - 2024-06-15
Arne Nägel
Institut für Informatik, Goethe-Universität Frankfurt am Main
Many problems in porous media science and geophysics comprise interactions of processes, and are typically formulated as a system of coupled PDEs. In most cases these systems are transient and non-linear. Developing efficient solvers is a delicate task, since one must to combine suitable schemes for (i) discretization, (ii) linearization, and (iii) (geometric and/or algebraic) multilevel solvers, finally being employed in a (iv) parallel high-performance computing environment.
This course provides an application-oriented introduction to this research field and combines theory with examples from real-world applications. In the examples, we are bridging different scales and consider, e.g., microscopic models for transport in biological tissues as well as simulations for large scale regional scale for groundwater flow.
