Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method

DOI10.1016/j.enganabound.2015.04.018zbMath1403.65223OpenAlexW310481620MaRDI QIDQ1654795

Wen Chen, Wenzhen Qu, Zhuo-Jia Fu

Publication date: 9 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.2015.04.018

zbMATH Keywords

boundary element methodpotential problemdomain integralrecursive composite multiple reciprocity method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction ⋮ Regularized formulation of potential field gradients in singular boundary method ⋮ A double-layer interpolation method for implementation of BEM analysis of problems in potential theory

Uses Software

• RIM_DOM.F90

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique
• Development and implementation of some BEM variants - A critical review
• Solution of Poisson's equation by analytical boundary element integration
• Novel regularized boundary integral equations for potential plane problems
• A general method for evaluation of 2D and 3D domain integrals without domain discretization and its application in BEM
• Winkler plate bending problems by a truly boundary-only boundary particle method
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• Evaluation of regular and singular domain integrals with boundary-only discretization-theory and Fortran code
• A time-stepping dual-reciprocity boundary element method for anisotropic heat diffusion subject to specification of energy
• Meshfree boundary particle method applied to Helmholtz problems
• Numerical evaluation of arbitrary singular domain integrals based on radial integration method
• Some recent results and proposals for the use of radial basis functions in the BEM
• Boundary particle method for Laplace transformed time fractional diffusion equations
• New variable transformations for evaluating nearly singular integrals in 3D boundary element method
• BEM analysis of thin structures for thermoelastic problems
• Novel applications of BEM based Poisson level set approach
• Boundary particle method for Cauchy inhomogeneous potential problems
• Numerical Investigation on Direct MLPG for 2D and 3D Potential Problems
• The method of particular solutions for solving scalar wave equations
• The multiple Reciprocity boundary element method in elasticity: A new approach for transforming domain integrals to the boundary
• A new method for transformation of domain integrals to boundary integrals in boundary element method
• Modified Overhauser elements for approximation of boundary densities in regularized BEM formulations

This page was built for publication: Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method