Galerkin formulations of themethod of fundamental solutions
Date
2013ISSN
2070-0733Source
Advances in Applied Mathematics and MechanicsVolume
5Issue
4Pages
423-441Google Scholar check
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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. © 2013 Global Science Press.