Prof. Dr. Axel Klawonn

The discretization of problems in solid mechanics with finite elements can lead to very large linear or nonlinear systems of equations. In this talk, domain decomposition methods for the solution of these problems will be considered. Here, domain decompositon methods are preconditioners for Krylov space methods and some of them are highly scalable for up to several hundred thousands of cores. FETI-DP and BDDC methods are examples for such methods and they will be described in more detail in this talk together with examples of their parallel scalability. Another issue in the solution of discretized problems from solid mechanics is the robustness of the iterative solvers with respect to certain parameters, e.g., discontinuities in the material coefficients which occur when composite materials are considered. If time allows, new theoretical approaches to adapt some important components of the domain decompositon preconditioners to the specific problem will be discussed as well and their robustness for composite materials will be numerically demonstrated.

19.12.2019, Raum: MPI, Sandtorstr. 1, Seminarraum Prigogine, Zeit: 17:00

Letzte Änderung: 19.10.2021 - Ansprechpartner: Prof. Dr. Volker Kaibel