Singular and Near Singular Integrals in the BEM: A Global Approach

DOI10.1137/0153020zbMath0771.65076OpenAlexW2053100542MaRDI QIDQ5286319

Dan Rosen, Donald E. Cormack

Publication date: 29 June 1993

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0153020

zbMATH Keywords

boundary element methodsingularityinvariant imbeddingcontinuationfinite part integralhypersingular integralsresidueCauchy type integralsprincipal valuenear singular integrals

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Integral equations with kernels of Cauchy type (45E05)

Related Items (11)

HYPERSINGULAR RESIDUALS—A NEW APPROACH FOR ERROR ESTIMATION IN THE BOUNDARY ELEMENT METHOD ⋮ Computing Weakly Singular and Near-Singular Integrals Over Curved Boundary Elements ⋮ Influence coefficients for variational integral equations ⋮ Integral evaluation in the BEM solution of (hyper)singular integral equations. 2D problems on polygonal domains ⋮ Numerical quadrature over triangles with weak singularities ⋮ Helmholtz equation and non-singular boundary elements applied to multi-disciplinary physical problems ⋮ Analytical Galerkin Boundary Integrals of Laplace Kernel Layer Potentials in \(\boldsymbol{\mathbb{R}^3}\) ⋮ Unnamed Item ⋮ Wavelet Solution of Plane Elasticity Problem in the Upper Half-plane ⋮ Analysis of hypersingular residual error estimates in boundary element methods for potential problems ⋮ Solution of a class of two-dimensional integral equations

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