MPI Colloquia Series / FMA Colloquium: Prof. Dr. Axel Klawonn, Robust and parallel scalable domain decomposition methods for problems in solid mechanics
MPI Colloquia Series: Prof. Dr. Axel Klawonn, Robust and parallel scalable domain decomposition methods for problems in solid mechanics
- Date: Dec 19, 2019
- Time: 17:00 - 18:00
- Speaker: Prof. Dr. Axel Klawonn
- University of Cologne, Department of Mathematics and Computer Science, Division of Mathematics, Numerical Mathematics and Scientific Computing
- Location: Max Planck Institute Magdeburg
- Room: Big Seminar Room "Prigogine"
- Host: jointly organized by the Faculty of Mathematics at Otto von Guericke University and Max Planck Institute Magdeburg
- Contact: email@example.com
The Max Planck Institute Magdeburg invites you to its series of colloquia. Top-class scientists, invited by the Max Planck Institute Magdeburg, give a survey of their research work. Everybody who is interested, is invited to attend.
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 decomposition 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.