Title
On the indefinite Helmholtz equation: complex stretched absorbing boundary layers, iterative analysis, and preconditioning On the indefinite Helmholtz equation: complex stretched absorbing boundary layers, iterative analysis, and preconditioning
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York ,
Subject
Physics
Computer. Automation
Source (journal)
Journal of computational physics. - New York
Volume/pages
229(2010) :22 , p. 8384-8405
ISSN
0021-9991
ISI
000282549700009
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/428521/4500.pdf
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