Recursive analytical quadrature for the close evaluation of Laplace and Helmholtz layer potentials over flat boundary elements in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.svg" display="inline" id="d1e2192"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>-Reference-Cited by-同舟云学术

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Recursive analytical quadrature for the close evaluation of Laplace and Helmholtz layer potentials over flat boundary elements in R3

Published:2024-02 Issue: Volume:159 Page:259-271
ISSN:0955-7997
Container-title:Engineering Analysis with Boundary Elements
language:en
Short-container-title:Engineering Analysis with Boundary Elements

Author:

Kaneko Shoken,Gumerov Nail A.,Duraiswami Ramani^ORCID

Funder

University of Maryland

Army Research Laboratory

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Engineering,Analysis

Reference31 articles.

1. Quadrature methods for singular and nearly singular integrals in 3-D boundary element method;Hayami;Bound Elem X,1988

2. A general algorithm for the numerical solution of hypersingular boundary integral equations;Guiggiani;J Appl Mech,1992

3. On numerical cubatures of nearly singular surface integrals arising in BEM collocation;Hackbusch;Computing,1994

4. A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals;Johnston;Internat J Numer Methods Engrg,2007

5. Evaluation of 3-D singular and nearly singular integrals in Galerkin BEM for thin layers;Lenoir;SIAM J Sci Comput,2012

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