|Title:||Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory||Authors:||Gu, Yan
|Keywords:||Method of fundamental solutions;meshless method;large-scale simulations;elasticit problems||Issue Date:||1-Dec-2021||Publisher:||GLOBAL SCIENCE PRESS||Journal Volume:||13||Journal Issue:||6||Start page/Pages:||1520-1534||Source:||ADVANCES IN APPLIED MATHEMATICS AND MECHANICS||Abstract:||
A localized version of the method of fundamental solution (LMFS) is devised in this paper for the numerical solutions of three-dimensional (3D) elasticity problems. The present method combines the advantages of high computational efficiency of localized discretization schemes and the pseudo-spectral convergence rate of the classical MFS formulation. Such a combination will be an important improvement to the classical MFS for complicated and large-scale engineering simulations. Numerical examples with up to 100,000 unknowns can be solved without any difficulty on a personal computer using the developed methodologies. The advantages, disadvantages and potential applications of the proposed method, as compared with the classical MFS and boundary element method (BEM), are discussed.
|Appears in Collections:||河海工程學系|
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