Regularization of nearly singular integrals in the boundary element method for potential problems

DOI10.1007/BF02438109zbMath1145.74420OpenAlexW2368142020MaRDI QIDQ1890373

Zhongrong Niu, Xiuxi Wang, Huan-lin Zhou

Publication date: 3 January 2005

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02438109

zbMATH Keywords

regularizationboundary element methodpotential problemnearly singular integral

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (6)

A systematic approach for potentials on closely packed cells using the null-field boundary integral equation in conjunction with the degenerate kernel and eigenfunction expansion ⋮ A simple and accurate scheme based on complex space \(\mathbb C\) to calculate boundary integrals of 2D boundary elements method ⋮ Calculation of 2D singular and near singular integrals of boundary elements method based on the complex space ⋮ A new semi-analytical method with diagonal coefficient matrices for potential problems ⋮ Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies ⋮ Anisotropic heat conduction across an interface crack/defect filled with a thin interstitial medium

Cites Work

• A New Boundary Element Method Formulation for Linear Elasticity
• Some notes on singular integral techniques in boundary element analysis
• Unnamed Item

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