http://scholars.ntou.edu.tw/handle/123456789/17817
Title: | Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory | Authors: | Gu, Yan Fan, Chia-Ming Fu, Zhuojia |
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. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/17817 | ISSN: | 2070-0733 | DOI: | 10.4208/aamm.OA-2020-0134 |
Appears in Collections: | 河海工程學系 |
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