Paper Info
Title
Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems.
Abstract
The traditional method of fundamental solutions (MFS) based on the “global” boundary discretization leads to dense and non-symmetric coefficient matrices that, although smaller in sizes, require huge computational cost to compute the system of equations using direct solvers. In this study, a localized version of the MFS (LMFS) is proposed for the large-scale modeling of two-dimensional (2D) elasticity problems. In the LMFS, the whole analyzed domain can be divided into small subdomains with a simple geometry. To each of the subdomain, the traditional MFS formulation is applied and the unknown coefficients on the local geometric boundary can be calculated by the moving least square method. The new method yields a sparse and banded matrix system which makes the method very attractive for large-scale simulations. Numerical examples with up to 200,000 unknowns are solved successfully using the developed LMFS code.
Year
DOI
Venue
2019
10.1016/j.aml.2019.01.035
Applied Mathematics Letters
Keywords
Field
DocType
Method of fundamental solutions,Meshless method,Large-scale modeling,Two-dimensional elasticity problems
Least squares,Scale model,Discretization,System of linear equations,Mathematical analysis,Matrix (mathematics),Method of fundamental solutions,Elasticity (economics),Band matrix,Mathematics
Journal
Volume
ISSN
Citations 
93
0893-9659
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
Yan Gu1112.86
Chia-Ming Fan221.67
Rui-Ping Xu300.34