Solution of Poisson's equation by analytical boundary element integration

DOI10.1016/j.amc.2010.05.034zbMath1200.65098OpenAlexW2025006474MaRDI QIDQ708151

Abbas Dashtimanesh, Parviz Ghadimi, Hossein Hosseinzadeh

Publication date: 11 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.034

zbMATH Keywords

numerical examplesPoisson's equationGalerkin vector methodanalytical integrationmultiple domain

Mathematics Subject Classification ID

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

Related Items (9)

Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method ⋮ A simple and accurate scheme based on complex space \(\mathbb C\) to calculate boundary integrals of 2D boundary elements method ⋮ Calculation of 2D singular and near singular integrals of boundary elements method based on the complex space ⋮ The Poisson problem: a comparison between two approaches based on SPH method ⋮ Fast boundary-domain integral method for heat transfer simulations ⋮ 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 ⋮ Calculation of domain integrals of two dimensional boundary element method

Cites Work

• An approach to the derivation of exact integration formulae in the boundary element method
• Exact integration in the boundary element method for two-dimensional elastostatic problems
• Exact boundary element integrations for two-dimensional Laplace equation
• A time-stepping dual-reciprocity boundary element method for anisotropic heat diffusion subject to specification of energy
• Analytic formulations for calculating nearly singular integrals in two-dimensional BEM
• Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies
• Singular integrals and boundary elements
• Exact integrations of two-dimensional high-order discontinuous boundary elements of elastostatics problems
• A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods
• Boundary Layer Effect in BEM with High Order Geometry Elements Using Transformation
• Analysis of 2D Thin Walled Structures in BEM with High-Order Geometry Elements Using Exact Integration
• BEM solution of Poisson's equation with source function satisfying \(\nabla^2\rho=\text{constant}\)
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