New application of hypersingular equations in the boundary element method

DOI10.1016/0045-7825(93)90130-PzbMath0766.65091OpenAlexW2015470081MaRDI QIDQ1209958

Rudolf Dallner, Günther Kuhn, Ryszard A. Bialecki

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90130-p

zbMATH Keywords

numerical examplesboundary element methodboundary integral equationscollocationhypersingular integralsDirichlet cornersstar points

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary element methods applied to problems in solid mechanics (74S15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (7)

EVALUATION OF THE STRESS TENSOR IN 3-D ELASTOPLASTICITY BY DIRECT SOLVING OF HYPERSINGULAR INTEGRALS ⋮ Orthogonal collocation in the nonconforming boundary element method ⋮ A direct boundary integral equations method to subsonic flow with circulation past thin airfoils in ground effect ⋮ The method of fundamental solutions applied to 3D elasticity problems using a continuous collocation scheme ⋮ An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis ⋮ Optimization of a window frame by BEM and genetic algorithm ⋮ The method of fundamental solutions for linear diffusion-reaction equations.

Cites Work

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• On nonsingular boundary integral equations for crack problems
• Elimination of the boundary layer effect in BEM computation of stresses
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations

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