NUMERICAL QUADRATURES FOR NEAR-SINGULAR AND NEAR-HYPERSINGULAR INTEGRALS IN BOUNDARY ELEMENT METHODS

DOI10.3318/PRIA.2008.109.1.49zbMath1168.65012arXiv0712.1699OpenAlexW2570509435MaRDI QIDQ3636293

Michael Carley

Publication date: 30 June 2009

Published in: Mathematical Proceedings of the Royal Irish Academy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1699

zbMATH Keywords

Cauchy principal valuenumerical examplesboundary element methodLaplace equationHelmholtz equationGaussian quadrature formulaHadamard finite part integralsnearly singular integral

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

A novel high-performance quadrature rule for BEM formulations ⋮ Regularization of divergent integrals: a comparison of the classical and generalized-functions approaches ⋮ An approach based on generalized functions to regularize divergent integrals

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