Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations

DOI10.1007/BF01179045zbMath0949.74076MaRDI QIDQ1304116

Subrata Mukherjee, Mandar K. Chati

Publication date: 3 December 2000

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

linear elasticityregularizationiterative schemepotential problemgradientsregular integralshypersingular boundary integralsLaplace problems

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items (8)

An improved direct method for evaluating hypersingular stress boundary integral equations in BEM ⋮ Regularization of hypersingular boundary integral equations: a new approach for axisymmetric elasticity. ⋮ The meshless standard and hypersingular boundary node methods?applications to error estimation and adaptivity in three-dimensional problems ⋮ A multi-variable non-singular BEM in 2D elasticity ⋮ Error estimation using hypersingular integrals in boundary element methods for linear elasticity. ⋮ The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems. ⋮ Finite parts of singular and hypersingular integrals with irregular boundary source points ⋮ Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM

Cites Work

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• The use of simple solutions in the regularization of hypersingular boundary integral equations
• On the evaluation of hyper-singular integrals arising in the boundary element method for linear elasticity
• A non-hypersingular boundary integral formulation for displacement gradients in linear elasticity
• Hypersingular and finite part integrals in the boundary element method
• Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• NON-SINGULAR SOMIGLIANA STRESS IDENTITIES IN ELASTICITY
• An integral equation approach to boundary value problems of classical elastostatics

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