Augmented AMG‐shifted Laplacian preconditioners for indefinite Helmholtz problems

DOI10.1002/nla.1997zbMath1374.65039OpenAlexW2102602799MaRDI QIDQ5739743

No author found.

Publication date: 19 July 2016

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1314556

zbMATH Keywords

convergencefrequency domainnumerical examplesiterative methodsstructural dynamicsalgebraic multigridHelmholtz operatoracoustic waveserror correctionperfectly matched layersshifted Laplacian

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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 (4)

Multigrid-based `shifted-Laplacian' preconditioning for the time-harmonic elastic wave equation ⋮ A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations ⋮ A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation ⋮ How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid?

Uses Software

• Matlab
• PSP
• clique
• Salinas

Cites Work

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• Local Fourier analysis of the complex shifted Laplacian preconditioner for Helmholtz problems
• On the convergence of shifted Laplace preconditioner combined with multilevel deflation
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• A multigrid-based shifted Laplacian preconditioner for a fourth-order Helmholtz discretization
• Smoothed aggregation for Helmholtz problems
• Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
• Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation
• Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian
• AN INCOMPLETE LU PRECONDITIONER FOR PROBLEMS IN ACOUSTICS
• Unigrid for Multigrid Simulation
• Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Numerical Results

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