On boundary integral operators for the Laplace and the Helmholtz equations and their discretisations

DOI10.1016/S0955-7997(98)00055-1zbMath0946.65123OpenAlexW1972474423MaRDI QIDQ1961527

Yanyan Li

Publication date: 26 October 2000

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(98)00055-1

zbMATH Keywords

eigenvalueseigenvectorseigenfunctionsLaplace equationHelmholtz equationboundary element methodscollocationpreconditionerssingle layer potential operatorhypersingular operatorHilbert operatorboundary integral formulationsdouble layer potential operator

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

• Boundary integral solution of the exterior Helmholtz problem
• On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
• On integral equations of the first kind with logarithmic kernels
• On boundary integral equations for crack problems
• MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
• Linear integral equations
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