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

By global sci. Advances in Applied Mathematics and Mechanics, 2021

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. A localized version of the method of fundamental solution (LMFS) is de-vised 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 diffi-culty 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.

Subfields: Biomedical Engineering, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d095bea132f61c5eec571f14ad16b3d697affc8a