Numerical evaluation of arbitrary singular domain integrals based on radial integration method

DOI10.1016/j.enganabound.2010.06.023zbMath1259.65182OpenAlexW2070718988MaRDI QIDQ1944505

Hai-Feng Peng, Xiao-Wei Gao

Publication date: 25 March 2013

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.06.023

zbMATH Keywords

boundary element methodpolynomialsradial integrationsingular domain integralsglobal distance

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (12)

New analytical expressions in radial integration BEM for solving heat conduction problems with variable coefficients ⋮ Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method ⋮ A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM ⋮ Numerical study of flow-excited noise of a submarine with full appendages considering fluid structure interaction using the boundary element method ⋮ Stacking sequence optimization of laminated plate structures using the boundary element method ⋮ Numerical evaluation of arbitrary singular domain integrals using third-degree B-spline basis functions ⋮ Efficient evaluation of weakly/strongly singular domain integrals in the BEM using a singular nodal integration method ⋮ Boundary element analysis of uncoupled transient thermo-elastic problems with time- and space-dependent heat sources ⋮ Radial integration boundary element method for acoustic eigenvalue problems ⋮ Evaluation of strongly singular domain integrals for internal stresses in functionally graded materials analyses using RIBEM ⋮ An adaptive binary-tree element subdivision method for evaluation of volume integrals with continuous or discontinuous kernels ⋮ Two-dimensional elastodynamic and free vibration analysis by the method of fundamental solutions

Uses Software

• BEMECH
• RIM_DOM.F90

Cites Work

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• Numerical evaluation of two-dimensional singular boundary integrals -- theory and Fortran code
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• An effective boundary element algorithm for 2D and 3D elastoplastic problems
• The DRM subdomain decomposition approach to solve the two-dimensional Navier-Stokes system of equations
• Solution of Poisson's equation by iterative DRBEM using compactly supported, positive definite radial basis function
• Evaluation of regular and singular domain integrals with boundary-only discretization-theory and Fortran code
• Three-step multi-domain BEM solver for nonhomogeneous material problems
• Some recent results and proposals for the use of radial basis functions in the BEM
• A new method for transformation of domain integrals to boundary integrals in boundary element method
• An integral equation approach to boundary value problems of classical elastostatics
• Integral equation methods in potential theory. I

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