@Article{AAMM-13-6,
author = {Yan, Gu and Fan, Chia-Ming and Zhuojia, Fu},
title = {Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2021},
volume = {13},
number = {6},
pages = {1520--1534},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2020-0134},
url = {https://global-sci.com/article/73019/localized-method-of-fundamental-solutions-for-three-dimensional-elasticity-problems-theory}
}