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The method of fundamental solutions for axisymmetric potential problems

✍ Scribed by Andreas Karageorghis; Graeme Fairweather

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 115 KB
Volume: 44
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19990420)44:11<1653::aid-nme558>3.0.co;2-1

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✦ Synopsis

In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two classes of axisymmetric potential problems. In the ÿrst, the boundary conditions as well as the domain of the problem, are axisymmetric, and in the second, the boundary conditions are arbitrary. In both cases, the fundamental solutions of the governing equations and their normal derivatives, which are required in the formulation of the MFS, can be expressed in terms of complete elliptic integrals. The method is tested on several axisymmetric problems from the literature and is also applied to an axisymmetric free boundary problem.

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