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The method of fundamental solutions for axisymmetric potential problems
Author(s) -
Karageorghis Andreas,
Fairweather Graeme
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990420)44:11<1653::aid-nme558>3.0.co;2-1
Subject(s) - rotational symmetry , boundary value problem , domain (mathematical analysis) , mathematics , boundary (topology) , method of fundamental solutions , mathematical analysis , singular boundary method , geometry , engineering , boundary element method , finite element method , structural engineering
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 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. Copyright © 1999 John Wiley & Sons, Ltd.