Integral equation methods for the Helmholtz equation

DOI10.1007/BF01694050zbMath0479.65059MaRDI QIDQ1162130

Jean Giroire

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

boundary integral equationsHelmholtz equationsingle layer potentialexterior Dirichlet problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

The superconvergence of a Galerkin collocation method for first kind boundary integral equations on smooth curves ⋮ The Galerkin boundary element method for exterior problems of 2-D Helmholtz equation with arbitrary wavenumber ⋮ Integral equation methods for the Helmholtz equation ⋮ On an exterior Laplace equation problem with Robin boundary condition ⋮ The synthesis of sound figures ⋮ Consistency Estimates for a Double-Layer Potential and Application to the Numerical Analysis of the Boundary-Element Approximation of Acoustic Scattering by a Penetrable Object ⋮ Formulation variationnelle espace‐temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)

Cites Work

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• Spectral Approximation for Compact Operators
• Improved Integral Formulation for Acoustic Radiation Problems
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems

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