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Robust Block Preconditioners for Biot’s Model Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP

Authors : Axel Klawonn, Martin Kühn, Oliver Rheinbach

Published in: Domain Decomposition Methods in Science and Engineering XXIV

Publisher: Springer International Publishing

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Abstract

Adaptive FETI-DP and BDDC methods are robust methods that can be used for highly heterogeneous problems when standard approaches fail. In these approaches, local generalized eigenvalue problems are solved approximately, and the eigenvectors are used to enhance the coarse problem. Here, a few iterations of an approximate eigensolver are usually sufficient. Different preconditioning options for the iterative LOBPCG eigenvalue problem solver are considered. Numerical results are presented for linear elasticity problems with heterogeneous coefficients.

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previous chapter Coupling Parareal and Dirichlet-Neumann/Neumann-Neumann Waveform Relaxation Methods for the Heat Equation
next chapter Using Algebraic Multigrid in Inexact BDDC Domain Decomposition Methods
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Metadata
Title
Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP
Authors
Axel Klawonn
Martin Kühn
Oliver Rheinbach
Copyright Year
2018
Book
Domain Decomposition Methods in Science and Engineering XXIV

Print ISBN: 978-3-319-93872-1

Electronic ISBN: 978-3-319-93873-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-93873-8_39

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