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Title
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On the indefinite Helmholtz equation: complex stretched absorbing boundary layers, iterative analysis, and preconditioning
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Author
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Abstract
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| This paper studies and analyzes a preconditioned Krylov solver for Helmholtz problems that are formulated with absorbing boundary layers based on complex coordinate stretching. The preconditioner problem is a Helmholtz problem where not only the coordinates in the absorbing layer have an imaginary part, but also the coordinates in the interior region. This results into a preconditioner problem that is invertible with a multigrid cycle. We give a numerical analysis based on the eigenvalues and evaluate the performance with several numerical experiments. The method is an alternative to the complex shifted Laplacian and it gives a comparable performance for the studied model problems. |
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Language
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English
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Source (journal)
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Journal of computational physics. - New York
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Publication
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New York
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2010
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ISSN
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0021-9991
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DOI
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10.1016/J.JCP.2010.07.022
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Volume/pages
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229
:22
(2010)
, p. 8384-8405
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ISI
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000282549700009
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Full text (Publisher's DOI)
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Full text (open access)
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