Title
A Linear Least-Squares MFS for Certain Elliptic Problems
Abstract
The Method of Fundamental Solutions (MFS) is a boundary-type meshless method for the solution of certain elliptic boundary value problems. In this work, we propose an efficient algorithm for the linear least-squares version of the MFS, when applied to the Dirichlet problem for certain second order elliptic equations in a disk. Various aspects of the method are discussed and a comparison with the standard MFS is carried out. Numerical results are presented.
Year
DOI
Venue
2004
10.1023/B:NUMA.0000016581.85429.8d
Numerical Algorithms
Keywords
Field
DocType
method of fundamental solutions,linear least-squares method,boundary meshless methods,elliptic boundary value problems
Elliptic rational functions,Boundary value problem,Mathematical optimization,Mathematical analysis,Method of fundamental solutions,Singular boundary method,Elliptic curve point multiplication,Mathematics,Schoof's algorithm,Regularized meshless method,Elliptic boundary value problem
Journal
Volume
Issue
ISSN
35
1
1572-9265
Citations 
PageRank 
References 
2
0.78
3
Authors
2
Name
Order
Citations
PageRank
Yiorgos-Sokratis Smyrlis1418.44
Andreas Karageorghis220447.54