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: sek-csc@mpi-magdeburg.mpg.de
MPI Colloquia Series / FMA Colloquium: Prof. Dr. Axel Klawonn, Robust and parallel scalable domain decomposition methods for problems in solid mechanics

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.

Abstract

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 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.

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