New variable transformations for evaluating nearly singular integrals in 3D boundary element method
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Publication:2451031
DOI10.1016/j.enganabound.2013.05.005zbMath1287.65127OpenAlexW2917585059WikidataQ56925229 ScholiaQ56925229MaRDI QIDQ2451031
Cheng Huang, Fenglin Zhou, Jianming Zhang, Guizhong Xie, Xing Shuai Zheng
Publication date: 26 May 2014
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2013.05.005
Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38) Integral equations with kernels of Cauchy type (45E05)
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Cites Work
- Unnamed Item
- Boundary element analysis of the thermal behaviour in thin-coated cutting tools
- An element implementation of the boundary face method for 3D potential problems
- Transient heat conduction analysis of solids with small open-ended tubular cavities by boundary face method
- A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
- Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals
- A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
- Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations.
- On the simple-solution method and non-singular nature of the BIE/BEM -- a review and some new results
- A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM
- Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
- Stress intensity sensitivities via hypersingular boundary integral equations
- Shape variable radial basis function and its application in dual reciprocity boundary face method
- New variable transformations for evaluating nearly singular integrals in 2D boundary element method
- New identities for fundamental solutions and their applications to non-singular boundary element formulations
- Variable transformations for nearly singular integrals in the boundary element method
- A dual reciprocity boundary face method for 3D non-homogeneous elasticity problems
- Boundary Layer Effect in BEM with High Order Geometry Elements Using Transformation
- Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering
- A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
- On the computation of nearly singular integrals in 3D BEM collocation
- A boundary face method for potential problems in three dimensions
- A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
- An effective method for finding values on and near boundaries in the elastic BEM
- Boundary integral equations for thin bodies
- Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification
- 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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