TY - JOUR
T1 - Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory
AU - Gu , Yan
AU - Fan , Chia-Ming
AU - Fu , Zhuojia
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 1520
EP - 1534
PY - 2021
DA - 2021/08
SN - 13
DO - http://doi.org/10.4208/aamm.OA-2020-0134
UR - https://global-sci.org/intro/article_detail/aamm/19433.html
KW - Method of fundamental solutions, meshless method, large-scale simulations, elasticity problems.
AB - <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>