Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering

DOI10.1023/A:1016249415373zbMath0999.65138OpenAlexW115426151MaRDI QIDQ1610212

Andreas Rathsfeld, George C. Hsiao

Publication date: 19 August 2002

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016249415373

zbMATH Keywords

boundary integral equationwavelet algorithmacoustic scatteringHelmholtz equationpreconditionersboundary elements methodpiecewise constant collocationfirst kind integral operators

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets ⋮ Fast collocation methods for high-dimensional weakly singular integral equations ⋮ Efficient Solution of Two-Dimensional Wave Propagation Problems by CQ-Wavelet BEM: Algorithm and Applications ⋮ Numerical solution of hypersingular equation using recursive wavelet on invariant set ⋮ Wavelets and convolution quadrature for the efficient solution of a 2D space-time BIE for the wave equation ⋮ Collocation method for the natural boundary integral equation

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