Stable boundary element domain decomposition methods for the Helmholtz equation

DOI10.1007/s00211-010-0315-6zbMath1222.65130OpenAlexW2134431740MaRDI QIDQ537872

Olaf Steinbach, Markus Windisch

Publication date: 23 May 2011

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-010-0315-6

zbMATH Keywords

stabilityHelmholtz equationboundary element domain decompositioninterior boundary value problemsRobin type interface conditions

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) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (11)

Coupling of boundary element and wave based methods for the efficient solution of complex multiple scattering problems ⋮ A boundary integral equation domain decomposition method for electromagnetic scattering from large and deep cavities ⋮ Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation ⋮ Multitrace/singletrace formulations and domain decomposition methods for the solution of Helmholtz transmission problems for bounded composite scatterers ⋮ Combined boundary integral equations for acoustic scattering-resonance problems ⋮ Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for eigenvalues and eigenfunctions of the Laplace operator ⋮ Boundary Element Methods with Weakly Imposed Boundary Conditions ⋮ FEM-BEM mortar coupling for the Helmholtz problem in three dimensions ⋮ Integral equations for acoustic scattering by partially impenetrable composite objects ⋮ Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains ⋮ Hybrid coupling of finite element and boundary element methods using Nitsche's method and the calderon projection

Cites Work

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