Searched for: collection%3Air
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document
Erlangga, Y.A. (author), Vuik, C. (author), Oosterlee, C.W. (author)
report 2003
document
Erlangga, Y.A. (author), Oosterlee, C.W. (author), Vuik, C. (author)
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...
report 2004
document
van Gijzen, M.B. (author), Erlangga, Y.A. (author), Vuik, C. (author)
Shifted Laplace preconditioners have attracted considerable attention as a technique to speed up convergence of iterative solution methods for the Helmholtz equation. In this paper we present a comprehensive spectral analysis of the Helmholtz operator preconditioned with a shifted Laplacian. Our analysis is valid under general conditions. The...
report 2006