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Efficient Iterative Solution of the Three-Dimensional Helmholtz Equation
We examine preconditioners for the discrete indefinite Helmholtz equation on a three-dimensional box-shaped domain with Sommerfeld-like boundary conditions. The preconditioners are of two types. The first is derived by ...
Eigenanalysis of Some Preconditioned Helmholtz Problems
In this work we calculate the eigenvalues obtained by preconditioning the discrete Helmholtz operator with Sommerfeld-like boundary conditions on a rectilinear domain, by a related operator with boundary conditions that ...
A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations
Standard multigrid algorithms have proven ineffective for the solution of discretizations of Helmholtz equations. In this work we modify the standard algorithm by adding GMRES iterations at coarse levels and as an outer ...