Print Email Facebook Twitter Convergence and complexity study of GMRES variants for solving multi-frequency elastic wave propagation problems Title Convergence and complexity study of GMRES variants for solving multi-frequency elastic wave propagation problems Author Baumann, M.M. (TU Delft Numerical Analysis) van Gijzen, M.B. (TU Delft Numerical Analysis) Date 2018 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. Subject Additive coarse grid correctionGlobal GMRESMulti-shift GMRESNested multi-shift Krylov methodsTime-harmonic elastic wave equation To reference this document use: http://resolver.tudelft.nl/uuid:1322c96d-23e4-4a8a-ad6b-d21ddeccc226 DOI https://doi.org/10.1016/j.jocs.2018.03.004 Embargo date 2021-11-02 ISSN 1877-7503 Source Journal of Computational Science, 26, 285-293 Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2018 M.M. Baumann, M.B. van Gijzen Files PDF 1_s2.0_S1877750317310852_main.pdf 1.68 MB Close viewer /islandora/object/uuid:1322c96d-23e4-4a8a-ad6b-d21ddeccc226/datastream/OBJ/view