Print Email Facebook Twitter A novel multigrid based preconditioner for heterogeneous Helmholtz problems Title A novel multigrid based preconditioner for heterogeneous Helmholtz problems Author Erlangga, Y.A. Oosterlee, C.W. Vuik, C. Faculty Electrical Engineering, Mathematics and Computer Science Date 2004 Abstract 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. The choice of multigrid components for the corresponding preconditioning matrix with a complex diagonal is made with the help of Fourier analysis. Multigrid analysis results are verifed by numerical experiments. High wavenumber Helmholtz problems in heterogeneous media are solved indicating the performance of the preconditioner. Subject Helmholtz equationnonconstant high wavenumbercomplex multigrid preconditionerFourier analysis To reference this document use: http://resolver.tudelft.nl/uuid:04de8912-4433-4222-a0da-14ee2a6301c9 Publisher Delft University of Technology, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft Institute of Applied Mathematics ISSN 1389-6520 Source Reports of the Department of Applied Mathematics, 04-05 Part of collection Institutional Repository Document type report Rights (c) 2004 Y. A. Erlangga; C. W. Oosterlee; C. Vuik Files PDF erlangga-04-05.pdf 4.02 MB Close viewer /islandora/object/uuid:04de8912-4433-4222-a0da-14ee2a6301c9/datastream/OBJ/view