http://scholars.ntou.edu.tw/handle/123456789/17817
標題: | Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory | 作者: | Gu, Yan Fan, Chia-Ming Fu, Zhuojia |
關鍵字: | Method of fundamental solutions;meshless method;large-scale simulations;elasticit problems | 公開日期: | 1-十二月-2021 | 出版社: | GLOBAL SCIENCE PRESS | 卷: | 13 | 期: | 6 | 起(迄)頁: | 1520-1534 | 來源出版物: | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 摘要: | 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 |
顯示於: | 河海工程學系 |
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