Das Max-Planck-Institut Magdeburg lädt Sie herzlich zu seiner
öffentlichen Kolloquiumsreihe ein. Hochrangige WissenschaftlerInnen
verschiedener Fachgebiete aus renommierten Forschungseinrichtungen aus
Deutschland und weltweit präsentieren ihre Forschungsarbeit.
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.