Integration of singular integrals for the Galerkin-type boundary element method in 3D elasticity

DOI10.1016/S0045-7825(97)00238-7zbMath0967.74072MaRDI QIDQ1971191

Heiko Andrä

Publication date: 30 August 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

corner singularitiesmixed boundary value problemboundary elementshypersingular integral equationsGalerkin approximationedge singularitiesthree-dimensional linear elasticityquadrature errorsystem of boundary integral equationsCauchy singular integralsnumerical cubatureGaussian product quadrature rules

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Numerical quadrature and cubature formulas (65D32)

Related Items

Direct evaluation of double singular integrals and new free terms in 2D (symmetric) Galerkin BEM. ⋮ Boundary element method for calculation of effective elastic moduli in 3D linear elasticity

Cites Work

• Integral equations with non integrable kernels
• On the efficient use of the Galerkin-method to solve Fredholm integral equations
• On numerical cubatures of nearly singular surface integrals arising in BEM collocation
• The boundary integro-differential equations of three-dimensional Neumann problem in linear elasticity
• Integration of singular Galerkin-type boundary element integrals for 3D elasticity problems
• Strong ellipticity of boundary integral operators.
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
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