Stabilized boundary element methods for exterior Helmholtz problems

DOI10.1007/s00211-008-0161-yzbMath1156.65098OpenAlexW2012269609MaRDI QIDQ943367

S. Engleder, Olaf Steinbach

Publication date: 9 September 2008

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

Full work available at URL: https://doi.org/10.1007/s00211-008-0161-y

zbMATH Keywords

stabilitynumerical examplesboundary integral equationHelmholtz equationboundary element methodsa priori error estimateexterior Dirichlet boundary value problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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)

Boundary Element Methods for Helmholtz Problems With Weakly Imposed Boundary Conditions ⋮ A new frequency-uniform coercive boundary integral equation for acoustic scattering ⋮ Solution of the exterior boundary value problem for the Helmholtz equation using overlapping domain decomposition ⋮ Conforming boundary element methods in acoustics ⋮ A wideband FMBEM for 2D acoustic design sensitivity analysis based on direct differentiation method ⋮ FEM/wideband FMBEM coupling for structural-acoustic design sensitivity analysis ⋮ A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator ⋮ An improved form of the hypersingular boundary integral equation for exterior acoustic problems ⋮ A fast BE-FE coupling scheme for partly immersed bodies ⋮ Discontinuous Petrov-Galerkin boundary elements ⋮ Evaluation algorithm of root canal shape based on Steklov spectrum analysis

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