Efficient iterative methods for multi-frequency wave propagation problems: A comparison study

Manuel Baumann, Martin B. van Gijzen

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

2 Citations (Scopus)
25 Downloads (Pure)


In this paper we present a comparison study for three different iterative Krylov methods that we have recently developed for the simultaneous numerical solution of wave propagation problems at multiple frequencies. The three approaches have in common that they require the application of a single shift-and-invert preconditioner at a suitable seed frequency. The focus of the present work, however, lies 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
Title of host publicationInternational Conference on Computational Science, ICCS 2017
Number of pages10
Publication statusPublished - 2017
EventICCS 2017: 17th International Conference on Computational Science - Zürich, Switzerland
Duration: 12 Jun 201714 Jun 2017

Publication series

NameProcedia Computer Science
ISSN (Print)1877-0509


ConferenceICCS 2017
OtherThe Art of Computational Science. Bridging Gaps – Forming Alloys
Internet address


  • Time-harmonic elastic wave equation
  • global GMRES
  • multi-shift GMRES
  • shifted Neumann preconditioner
  • nested multi-shift Krylov methods

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