The singular boundary method: mathematical background and application in orthotropic elastic problems

DOI10.1016/j.enganabound.2014.02.001zbMath1297.74145OpenAlexW2120805240WikidataQ58011558 ScholiaQ58011558MaRDI QIDQ463539

Yan Gu, Wen Chen, Zhuo-Jia Fu, Bo Zhang

Publication date: 16 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.02.001

zbMATH Keywords

method of fundamental solutionssingular boundary methodmeshless boundary collocation methodorigin intensity factororthotropic elastic problems

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (11)

Meshless singular boundary methods for biharmonic problems ⋮ Stress analysis for two-dimensional thin structural problems using the meshless singular boundary method ⋮ Mesh-free simulation of liquid sloshing subjected to harmonic excitations ⋮ Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method ⋮ Crack analysis by using the enriched singular boundary method ⋮ Generalized finite difference method for two-dimensional shallow water equations ⋮ A fast singular boundary method for 3D Helmholtz equation ⋮ A wave based method for two-dimensional time-harmonic elastic wave propagation in anisotropic media ⋮ Analysis of Two-Dimensional Thin Structures (From Micro- to Nano-Scales) Using the Singular Boundary Method ⋮ Identification of Elastic Orthotropic Material Parameters by the Singular Boundary Method ⋮ Analysis of the dipole simulation method for two-dimensional Dirichlet problems in Jordan regions with analytic boundaries

Uses Software

• SERBA

Cites Work

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• Infinite domain potential problems by a new formulation of singular boundary method
• Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions
• Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions
• A new boundary meshfree method with distributed sources
• Combinations of method of fundamental solutions for Laplace's equation with singularities
• Regularized method of fundamental solutions for boundary identification in two-dimensional isotropic linear elasticity
• The evaluation of Cauchy principal value integrals in the boundary element method - a review
• Boundary approximation methods for solving elliptic problems on unbounded domains
• Rigid-body translation with curved boundary elements
• The method of fundamental solutions for elliptic boundary value problems
• The method of fundamental solutions for axisymmetric elasticity problems
• The method of fundamental solutions for the numerical solution of the biharmonic equation
• An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis
• Heritage and early history of the boundary element method
• The boundary element method based on the three-dimensional elastostatic fundamental solution for the orthotropic multilayered space: Application to composite materials
• Novel meshless method for solving the potential problems with arbitrary domain
• Calculating transport of water from a conduit to the porous matrix by boundary distributed source method
• The method of fundamental solutions for 2D and 3D Stokes problems
• Non-Singular Method of Fundamental Solutions forTwo-Dimensional Isotropic Elasticity Problems
• The method of fundamental solutions for the inverse conductivity problem
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Non-singular boundary integral representation of stresses
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations
• A boundary element method for anisotropic inhomogeneous elasticity
• BEM for thermoelasticity and elasticity with body force -- a revisit

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