Use of Shifted Laplacian Operators for Solving Indefinite Helmholtz Equations

DOI10.4208/nmtma.2015.w03sizbMath1340.65300OpenAlexW2089886276MaRDI QIDQ3462933

Ira Livshitz

Publication date: 15 January 2016

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2015.w03si

zbMATH Keywords

numerical resultspreconditioningmultigridshifted LaplacianKrylov-type methodsindefinite Helmholtz operatorray correction

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (6)

Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations ⋮ Multiple Galerkin Adaptive Algebraic Multigrid Algorithm for the Helmholtz Equations ⋮ Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners ⋮ The Helmholtz equation with uncertainties in the wavenumber ⋮ Preconditioning the Helmholtz equation with the shifted Laplacian and Faber polynomials ⋮ How to Choose the Shift in the Shifted Laplace Preconditioner for the Helmholtz Equation Combined with Deflation

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