A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis
DOI10.1016/j.cma.2016.05.032zbMath1439.65209OpenAlexW2408815795MaRDI QIDQ2308603
Yan Gu, Wen Chen, Chuan-Zeng Zhang, Hong Wei Gao
Publication date: 3 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2016.05.032
boundary element methodnearly singular integralsnon-linear coordinate transformationsinh functionthree-dimensional anisotropic problems
Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (25)
Cites Work
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- Boundary element analysis of the thermal behaviour in thin-coated cutting tools
- An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
- Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals
- Use of the sinh transformation for evaluating 2D nearly singular integrals in 3D BEM
- A mapping method for numerical evaluation of two-dimensional integrals with \(1/r\) singularity
- Numerical evaluation of two-dimensional singular boundary integrals -- theory and Fortran code
- Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method
- A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
- Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
- An extended exponential transformation for evaluating nearly singular integrals in general anisotropic boundary element method
- Stress intensity sensitivities via hypersingular boundary integral equations
- New variable transformations for evaluating nearly singular integrals in 2D boundary element method
- A novel boundary element approach for solving the anisotropic potential problems
- Analytic formulations for calculating nearly singular integrals in two-dimensional BEM
- Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies
- Singular integrals and boundary elements
- Heritage and early history of the boundary element method
- The distance sinh transformation for the numerical evaluation of nearly singular integrals over curved surface elements
- Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element method
- The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements
- A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
- A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
- Direct computation of Cauchy principal value integrals in advanced boundary elements
- 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
- Non-singular boundary integral representation of stresses
- Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
- Some notes on singular integral techniques in boundary element analysis
- Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
- A sinh transformation for evaluating nearly singular boundary element integrals
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