On the coupling of BEM and FEM for exterior problems for the Helmholtz equation

DOI10.1090/S0025-5718-99-01064-9zbMath0926.65122OpenAlexW2069028551MaRDI QIDQ4240573

Rui-Xia Li

Publication date: 28 April 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01064-9

zbMATH Keywords

error estimatesfinite element methodintegral equationFourier expansionboundary element methodvariational equationHelmholtz equationexterior Dirichlet and Neumann problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle ⋮ Numerical solution of a certain hypersingular integral equation of the first kind ⋮ The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application ⋮ On the coupling of mixed-FEM and BEM for an exterior Helmholtz problem in the plane ⋮ Mechanical quadrature methods and extrapolation for solving nonlinear boundary Helmholtz integral equations

Cites Work

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• On accuracy conditions for the numerical computation of waves
• Exact non-reflecting boundary conditions
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• Finite Element Analysis of a Scattering Problem
• On the Coupling of Boundary Integral and Finite Element Methods

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