Title
Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems
Abstract
The Method of Fundamental Solutions (MFS) is a boundary-type method for the solution of certain elliptic boundary value problems. The basic ideas of the MFS were introduced by Kupradze and Alexidze and its modern form was proposed by Mathon and Johnston. In this work, we investigate certain aspects of a particular version of the MFS, also known as the Charge Simulation Method, when it is applied to the Dirichlet problem for Laplace's equation in a disk.
Year
DOI
Venue
2001
10.1023/A:1012873712701
J. Sci. Comput.
Keywords
Field
DocType
charge simulation method,modern form,boundary-type method,certain elliptic boundary value,elliptic boundary value problems.,dirichlet problem,basic idea,certain harmonic problems,fundamental solutions,circulant matrices,certain aspect,particular version,method of fundamental solutions,elliptic boundary value problem
Boundary value problem,Mathematical optimization,Dirichlet problem,Laplace transform,Mathematical analysis,Singularity,Laplace's equation,Method of fundamental solutions,Eigenvalues and eigenvectors,Mathematics,Elliptic curve
Journal
Volume
Issue
ISSN
16
3
1573-7691
Citations 
PageRank 
References 
22
3.57
1
Authors
2
Name
Order
Citations
PageRank
Yiorgos-Sokratis Smyrlis1418.44
Andreas Karageorghis220447.54