The MFS for numerical boundary identification in two-dimensional harmonic problems
Date
2011Source
Engineering Analysis with Boundary ElementsVolume
35Issue
3Pages
342-354Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
In this study, we briefly review the applications of the method of fundamental solutions to inverse problems over the last decade. Subsequently, we consider the inverse geometric problem of identifying an unknown part of the boundary of a domain in which the Laplace equation is satisfied. Additional Cauchy data are provided on the known part of the boundary. The method of fundamental solutions is employed in conjunction with regularization in order to obtain a stable solution. Numerical results are presented and discussed. © 2010 Elsevier Ltd.
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 ...