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Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory

Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory
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Year:    2021

Author:    Yan Gu, Chia-Ming Fan, Zhuojia Fu

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 6 : pp. 1520–1534

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2020-0134

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 6 : pp. 1520–1534

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Method of fundamental solutions meshless method large-scale simulations elasticity problems.

Author Details

Yan Gu

Chia-Ming Fan

Zhuojia Fu

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