Solving potential problems by a boundary-type meshless method-the boundary point method based on BIE

DOI10.1016/j.enganabound.2007.03.001zbMath1195.65186OpenAlexW2042828230MaRDI QIDQ1958367

Hang Ma, Qing-Hua Qin

Publication date: 28 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2007.03.001

zbMATH Keywords

fundamental solutionboundary integral equationmeshless methodboundary point methodmoving elementsingular and hypersingular kernels

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (9)

Solution of stress intensity factors of multiple cracks in plane elasticity with eigen COD formulation of boundary integral equation ⋮ Single layer regularized meshless method for three dimensional Laplace problem ⋮ Single layer regularized meshless method for three dimensional exterior acoustic problem ⋮ Two-dimensional polynomial eigenstrain formulation of boundary integral equation with numerical verification ⋮ A new semi-analytical method with diagonal coefficient matrices for potential problems ⋮ Eigenstrain formulation of boundary integral equations for modeling particle-reinforced composites ⋮ Efficient solution of multiple cracks in great number using eigen COD boundary integral equations with iteration procedure ⋮ Computational model for short-fiber composites with eigenstrain formulation of boundary integral equations ⋮ Boundary point method for linear elasticity using constant and quadratic moving elements

Cites Work

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• Boundary methods, c-complete systems for Stokes problems
• The method of fundamental solutions for elliptic boundary value problems
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
• Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems.
• Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations.
• Hybrid boundary point interpolation methods and their coupling with the element free Galerkin method.
• A meshless, integration-free, and boundary-only RBF technique
• Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
• A simplified approach to enhance the performance of smooth particle hydrodynamics methods
• A meshless method for generalized linear or nonlinear Poisson-type problems
• Novel meshless method for solving the potential problems with arbitrary domain
• Boundary meshfree methods based on the boundary point interpolation methods
• A new meshless method for steady-state heat conduction problems in anisotropic and inhomogeneous media
• The method of fundamental solutions for 2D and 3D Stokes problems
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Element‐free Galerkin methods
• Meshless analysis of potential problems in three dimensions with the hybrid boundary node method
• A point interpolation meshless method based on radial basis functions
• An application of Trefftz method to the sensitivity analysis of two‐dimensional potential problem
• Reproducing kernel particle methods
• A fast algorithm for particle simulations
• Trefftz method: An overview

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