Some aspects of the Method of Fundamental Solutions for certain harmonic problems
Date
2001Source
Journal of Scientific ComputingVolume
16Issue
3Pages
341-371Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
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. © 2001 Plenum Publishing Corporation.
Collections
Cite as
Related items
Showing items related by title, author, creator and subject.
-
Article
The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity
Christodoulou, Evgenia; Elliotis, Miltiades C.; Xenophontos, Christos A.; Georgiou, Georgios C. (2012)Three-dimensional Laplace problems with a boundary straight-edge singularity caused by two intersecting flat planes are considered. The solution in the neighbourhood of the straight edge can be expressed as an asymptotic ...
-
Article
The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions
Poullikkas, A.; Karageorghis, Andreas; Georgiou, Georgios C. (2001)The method of fundamental solutions (MFS) is formulated for three-dimensional Signorini boundary-value problems. The method is tested on a three-dimensional electropainting problem related to the coating of vehicle roofs. ...
-
Article
The method of fundamental solutions for axisymmetric potential problems
Karageorghis, Andreas; Fairweather, G. (1999)In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two classes of axisymmetric potential problems. In the first, the boundary conditions as well as the domain of the problem, are ...