Year: 2013
Author: J. R. Berger, Andreas Karageorghis
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 4 : pp. 423–441
Abstract
In this paper, we introduce two Galerkin formulations of the Method of Fundamental Solutions (MFS). In contrast to the collocation formulation of the MFS, the proposed Galerkin formulations involve the evaluation of integrals over the boundary of the domain under consideration. On the other hand, these formulations lead to some desirable properties of the stiffness matrix such as symmetry in certain cases. Several numerical examples are considered by these methods and their various features compared.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.13-13S02
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 4 : pp. 423–441
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Galerkin formulation Laplace equation method of fundamental solutions.
Author Details
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The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions
Karageorghis, Andreas
Numerical Algorithms, Vol. 68 (2015), Iss. 1 P.185
https://doi.org/10.1007/s11075-014-9900-6 [Citations: 6]