Hypersingular kernel integration in 3D Galerkin boundary element method

DOI10.1016/S0377-0427(01)00363-6zbMath0995.65123MaRDI QIDQ5957942

Alessandra Aimi, Mauro Diligenti

Publication date: 23 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

potential problemsGalerkin boundary element methodfinite-part integralshypersingular boundary integral equationspolygonal domainsquadrature schemes

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 (8)

Neumann exterior wave propagation problems: computational aspects of 3D energetic Galerkin BEM ⋮ On the implementation of 3D Galerkin boundary integral equations ⋮ Development and implementation of some BEM variants - A critical review ⋮ Semi-analytic treatment of the three-dimensional Poisson equation via a Galerkin BIE method ⋮ Isogemetric analysis and symmetric Galerkin BEM: a 2D numerical study ⋮ Numerical solution of integral equations by means of the sinc collocation method based on the double exponential transformation ⋮ Semi-analytic integration of hypersingular Galerkin BIEs for three-dimensional potential problems ⋮ Discovery of the double exponential transformation and its developments

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