Incremental unknowns preconditioning for solving the Helmholtz equation

DOI10.1002/num.20226zbMath1129.65074OpenAlexW2165362999WikidataQ115398683 ScholiaQ115398683MaRDI QIDQ5433242

Amir Boag, Pascal Poullet

Publication date: 8 January 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20226

zbMATH Keywords

numerical examplespreconditioningiterative methodsHelmholtz equationelectromagnetic scatteringmultilevel methodsincremental unknowns

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Equation-based interpolation and incremental unknowns for solving the three-dimensional Helmholtz equation ⋮ Equation-based interpolation and incremental unknowns for solving the Helmholtz equation ⋮ Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems ⋮ Preconditioning analysis of the one dimensional incremental unknowns method on nonuniform meshes

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