Iterative schemes for high order compact discretizations to the exterior Helmholtz equation

DOI10.1051/m2an/2011063zbMath1272.65082OpenAlexW1992124711MaRDI QIDQ2842481

Yogi A. Erlangga, Eli Turkel

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011063

zbMATH Keywords

convergencenumerical examplesfinite difference approximationsexterior domainHelmholtz equationmultigridSommerfeld radiation conditionpreconditionerKrylov subspace iterative methodBICGSTAB

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Preconditioners for iterative methods (65F08)

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Uses Software

• BiCGstab