Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian

Abstract

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 propagating… (More)
DOI: 10.1137/060661491

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