Max-Planck-Institut für Dynamik komplexer technischer Systeme
MPI Kolloquiumsreihe / FMA Kolloquium: Prof. Dr. Axel Klawonn, Robust and parallel scalable domain decomposition methods forproblems in solid mechanics
MPI Kolloquiumsreihe: Prof. Dr. Axel Klawonn, Robust and parallel scalable domain decomposition methods
Datum:
19.12.2019
Uhrzeit:
17:00 - 18:00
Vortragende(r):
Prof. Dr. Axel Klawonn
Universität zu Köln, Mathematisches Institut, Numerische Mathematik und Wissenschaftliches Rechnen
Ort:
Max-Planck-Institut Magdeburg
Raum:
Großer Seminarraum "Prigogine"
Gastgeber:
veranstaltet vom Max-Planck-Institut Magdeburg und der Fakultät für Mathematik an der Otto-von-Guericke-Universität Magdeburg
Das Max-Planck-Institut Magdeburg lädt Sie herzlich zu seiner
öffentlichen Kolloquiumsreihe ein. Hochrangige WissenschaftlerInnen
verschiedener Fachgebiete aus renommierten Forschungseinrichtungen aus
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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.