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A numerical coordinate transformation for efficient evaluation of oscillatory integrals over wave boundary integrals

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Publication:732345
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zbMath1173.65071MaRDI QIDQ732345

M. E. Honnor, Jon Trevelyan

Publication date: 9 October 2009

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)


zbMATH Keywords

numerical examplesboundary element methodHelmholtz operatorpartition of unity methodcoordinate transformationhighly oscillatory integralsdiscretised integral equation


Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)


Related Items (5)

Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids ⋮ On the evaluation of highly oscillatory integrals with high frequency ⋮ An Adaptive Filon Algorithm for Highly Oscillatory Integrals ⋮ An exponential transformation based splitting method for fast computations of highly oscillatory solutions ⋮ The wave-matching boundary integral equation -- an energy approach to Galerkin BEM for acoustic wave propagation problems




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