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math.AP2015
On the optimality of shifted Laplacian in the class of expansion preconditioners for the Helmholtz equation
Siegfried Cools, Wim Vanroose
This paper introduces and explores the class of expansion preconditioners EX(m) that forms a direct generalization to the classic complex shifted Laplace (CSL) preconditioner for H…
math.AP2011★ 34 cited
Local Fourier Analysis of the Complex Shifted Laplacian preconditioner for Helmholtz problems
Siegfried Cools, Wim Vanroose
In this paper we solve the Helmholtz equation with multigrid preconditioned Krylov subspace methods. The class of Shifted Laplacian preconditioners are known to significantly speed…