A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems

An iterative solution method, in the form of a preconditioner for a Krylov subspace method, is presented for the Helmholtz equation. The preconditioner is based on a Helmholtz-type differential operator with a complex term. A multigrid iteration is used for approximately inverting the preconditioner...

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Bibliographic Details
Published in:	SIAM journal on scientific computing Vol. 27; no. 4; pp. 1471 - 1492
Main Authors:	Erlangga, Y. A., Oosterlee, C. W., Vuik, C.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2006
Subjects:	Accuracy Acoustics Aeroacoustics, atmospheric sound Boundary conditions Classical and quantum physics: mechanics and fields Eigenvalues Exact sciences and technology Fourier analysis Fundamental areas of phenomenology (including applications) General theory of scattering Helmholtz equations Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Partial differential equations, boundary value problems Physics Radiation Sciences and techniques of general use 78A45 Initial value problem Decomposition method Helmholtz equation Krylov subspace method Fourier analysis Iterative method Iteration Nonconstant high wavenumber Partial differential equation Numerical analysis Boundary value problem complex multigrid preconditioner Scientific computation 65F10 Multigrid 76Q05 Complex matrix Domain decomposition Preconditioning 65N22 65N55
ISSN:	1064-8275, 1095-7197
Online Access:	Get full text
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