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Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP

  • Axel KlawonnEmail author
  • Martin KühnEmail author
  • Oliver RheinbachEmail author
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 125)

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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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität zu KölnKölnGermany
  2. 2.Institut für Numerische Mathematik und Optimierung, Fakultät für Mathematik und InformatikTechnische Universität Bergakademie FreibergFreibergGermany

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