Convergence and complexity study of GMRES variants for solving multi-frequency elastic wave propagation problems

Manuel Baumann, Martin B. van Gijzen

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)

Abstract

In this paper we present a comparison study of three different frameworks of iterative Krylov methods that we have recently developed for the simultaneous numerical solution of frequency-domain wave propagation problems when multiple wave frequencies are present. The three approaches have in common that they require the application of a single shift-and-invert preconditioner at a suitable seed frequency. In particular for three-dimensional problems, we present the efficient application of the elastic shift-and-invert preconditioner by means of an additive coarse grid correction. The focus of the present work lies, however, on the performance of the respective iterative method. We conclude with numerical examples that provide guidance concerning the suitability of the three methods.

Original languageEnglish
Pages (from-to)285-293
Number of pages9
JournalJournal of Computational Science
Volume26
DOIs
Publication statusPublished - 2018

Keywords

  • Additive coarse grid correction
  • Global GMRES
  • Multi-shift GMRES
  • Nested multi-shift Krylov methods
  • Time-harmonic elastic wave equation

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