Title
A matrix decomposition MFS algorithm for certain linear elasticity problems
Abstract
We propose an efficient matrix decomposition Method of Fundamental Solutions algorithm for the solution of certain two-dimensional linear elasticity problems. In particular, we consider the solution of the Cauchy–Navier equations in circular domains subject to Dirichlet boundary conditions, that is when the displacements are prescribed on the boundary. The proposed algorithm is extended to the case of annular domains. Numerical experiments for both types of problems are presented.
Year
DOI
Venue
2006
10.1007/s11075-006-9045-3
Numerical Algorithms
Keywords
Field
DocType
method of fundamental solutions,Cauchy–Navier system,matrix decomposition algorithm,fast Fourier transform,circulant matrices,Primary 35J55,35E05,65N35,Secondary 65N38,65F30,65T50
Singular value decomposition,Mathematical optimization,Eight-point algorithm,Mathematical analysis,Matrix decomposition,Algorithm,Dirichlet boundary condition,Method of fundamental solutions,Linear elasticity,LU decomposition,Mathematics,Cholesky decomposition
Journal
Volume
Issue
ISSN
43
2
1017-1398
Citations 
PageRank 
References 
4
0.64
3
Authors
3
Name
Order
Citations
PageRank
Andreas Karageorghis120447.54
Yiorgos Sokratis Smyrlis241.32
Th. Tsangaris371.24