Regularization of nearly hypersingular integrals in the boundary element method

DOI10.1016/S0955-7997(01)00009-1zbMath1015.74073WikidataQ127011526 ScholiaQ127011526MaRDI QIDQ5938444

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Publication date: 5 August 2003

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

decompositionboundary element methodcurved elementsnearly hypersingular integralsquasi-hypersingular integralsquasi-singular integralsregularization procedurestraight elements

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (9)

Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method ⋮ Geometric conversion approach for the numerical evaluation of hypersingular and nearly hypersingular boundary integrals over curved surface boundary elements ⋮ A fast multipole boundary element method based on higher order elements for analyzing 2-D potential problems ⋮ Boundary element analysis of the thermal behaviour in thin-coated cutting tools ⋮ Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations. ⋮ A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM ⋮ Approximate formulation of the hypersingular boundary integral equation in potential theory ⋮ A fast multipole boundary element method based on higher order elements for analyzing 2-D elastostatic problems ⋮ A new error upper bound formula for Gaussian integration in boundary integral equations

Cites Work

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• Accurate interior point computations in the boundary integral equation method
• The use of simple solutions in the regularization of hypersingular boundary integral equations
• 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 the Numerical Solution of Hypersingular Boundary Integral Equations
• Some notes on singular integral techniques in boundary element analysis
• Hypersingular quarter‐point boundary elements for crack problems
• Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity

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