Conformal distance-sigmoidal transformation for evaluating 3D nearly singular integrals over triangular elements
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Publication:1656411
DOI10.1016/j.enganabound.2018.01.008zbMath1403.74237OpenAlexW2790259818MaRDI QIDQ1656411
Fei Tan, Yu-Yong Jiao, Jia-He Lv
Publication date: 10 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.01.008
Boundary element methods applied to problems in solid mechanics (74S15) Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)
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- A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM
- A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
- An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals
- On numerical cubatures of singular surface integrals in boundary element methods
- A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
- On the simple-solution method and non-singular nature of the BIE/BEM -- a review and some new results
- Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM
- Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
- A new model for the analysis of reinforced concrete members with a coupled HdBNM/FEM
- Calculation of 2D nearly singular integrals over high-order geometry elements using the sinh transformation
- Stress intensity sensitivities via hypersingular boundary integral equations
- The multi-domain hybrid boundary node method for 3D elasticity
- A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
- Singular integrals and boundary elements
- New identities for fundamental solutions and their applications to non-singular boundary element formulations
- Efficiency improvement of the polar coordinate transformation for evaluating BEM singular integrals on curved elements
- Distance transformation for the numerical evaluation of nearly singular integrals on triangular elements
- A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods
- Variable transformations for nearly singular integrals in the boundary element method
- Thermal analysis of 3D composites by a new fast multipole hybrid boundary node method
- The distance sinh transformation for the numerical evaluation of nearly singular integrals over curved surface elements
- Boundary Layer Effect in BEM with High Order Geometry Elements Using Transformation
- On the computation of nearly singular integrals in 3D BEM collocation
- The iterated sinh transformation
- A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
- 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
- Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
- 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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