Use of the sinh transformation for evaluating 2D nearly singular integrals in 3D BEM

DOI10.1007/s00707-015-1361-zzbMath1325.65164OpenAlexW2037616586MaRDI QIDQ500425

Yong-Cai Geng, Sumit K. Garg

Publication date: 2 October 2015

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

Full work available at URL: https://doi.org/10.1007/s00707-015-1361-z

zbMATH Keywords

numerical exampleboundary element methodsinh transformationnearly singular integrals

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures ⋮ Three-dimensional stress analysis of thin structures using a boundary element method with sinh transformation for nearly singular integrals ⋮ A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis ⋮ The Distance-Sinh combined transformation for near-singularity cancelation based on the generalized Duffy normalization

Cites Work

• Unnamed Item
• Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals
• A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
• A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM
• A new transformation technique for evaluating nearly singular integrals
• 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
• Computation of nearly singular integrals in 3D BEM
• Internal stress analysis for single and multilayered coating systems using the boundary element method
• A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
• Distance transformation for the numerical evaluation of nearly singular integrals on triangular elements
• New variable transformations for evaluating nearly singular integrals in 3D boundary element method
• The distance sinh transformation for the numerical evaluation of nearly singular integrals over curved surface elements
• BEM analysis of thin structures for thermoelastic problems
• The Sinh Transformation for Curved Elements Using theGeneral Distance Function
• Boundary Layer Effect in BEM with High Order Geometry Elements Using Transformation
• A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
• The iterated sinh transformation
• Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals
• Some notes on singular integral techniques in boundary element analysis
• A bi‐cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods
• A sinh transformation for evaluating nearly singular boundary element integrals

This page was built for publication: Use of the sinh transformation for evaluating 2D nearly singular integrals in 3D BEM