The \(hp\)-version of the boundary element method for Helmholtz screen problems
type: Item
instance of: scholarly article
title: The \(hp\)-version of the boundary element method for Helmholtz screen problems
zbMATH Open document ID: 0859.65122
DOI: 10.1007/BF02276875
author: H. Holm
author: Matthias Maischak
author: Ernst P. Stephan
published in: Computing
publication date: 1997-04-07T00:00:00Z
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 936849
zbMATH Keywords: convergence
zbMATH Keywords: boundary element method
zbMATH Keywords: weakly singular
zbMATH Keywords: hypersingular
zbMATH Keywords: integral equations of the first kind
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: \(hp\)-version
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
cites work: An improved boundary element method for the charge density of a thin electrified plate in ℝ3
cites work: Boundary Integral Operators on Lipschitz Domains: Elementary Results
cites work: A direct boundary integral equation method for transmission problems
cites work: Duality estimates for the numerical solution of integral equations
cites work: Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
cites work: A boundary element Galerkin method for a hypersingular integral equation on open surfaces
cites work: Exponential convergence of the \(hp\)-version for the boundary element method on open surfaces
cites work: Q5589570
cites work: Q5634306
cites work: Q4875946
cites work: The Optimalp-Version Approximation of Singularities on Polyhedra in the Boundary Element Method
cites work: Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\)
cites work: Q3127512
cites work: Q4124248
cites work: A hypersingular boundary integral method for two-dimensional screen and crack problems
cites work: Decompositions in Edge and Corner Singularities for the Solution of the Dirichlet Problem of the Laplacian in a Polyhedron
cites work: Regularity of mixed boundary value problems in ℝ3 and boundary element methods on graded meshes
full work available at URL: https://doi.org/10.1007/bf02276875
OpenAlex ID: W1578357209
description: scientific article; zbMATH DE number 936849