A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations

DOI10.1016/j.apnum.2017.09.008zbMath1377.65161OpenAlexW2760044482MaRDI QIDQ1675507

Carlos Pérez-Arancibia

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.09.008

zbMATH Keywords

numerical exampleregularizationsingularity subtractionHelmholtz equationboundary integral equation methodhypersingular operatorNyström discretizationcombined field 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 (6)

On the regularization of Cauchy-type integral operators via the density interpolation method and applications ⋮ Windowed Green function method for wave scattering by periodic arrays of 2D obstacles ⋮ A Non-Singular Boundary Element Method for Interactions between Acoustical Field Sources and Structures ⋮ General-purpose kernel regularization of boundary integral equations via density interpolation ⋮ Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D ⋮ Planewave Density Interpolation Methods for 3D Helmholtz Boundary Integral Equations

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