Collocation method for the natural boundary integral equation

DOI10.1016/J.AML.2006.01.014zbMath1176.65146OpenAlexW1969488158MaRDI QIDQ1031729

Wei Lin, Youjian Shen

Publication date: 30 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.01.014

zbMATH Keywords

algorithmcollocation methodnumerical examplesLaplace equationLegendre waveletnatural boundary integral equation

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) 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

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• Reconstruction and decomposition algorithms for biorthogonal multiwavelets
• Using the matrix refinement equation for the construction of wavelets on invariant sets
• The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes
• Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering
• WAVELET SOLUTIONS FOR TIME HARMONIC ACOUSTIC WAVES IN A FINITE OCEAN
• Evaluations of hypersingular integrals using Gaussian quadrature
• A construction of interpolating wavelets on invariant sets
• Fast Collocation Methods for Second Kind Integral Equations
• Discrete wavelet Petrov--Galerkin methods

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