TY - JOUR
T1 - Galerkin Formulations of the Method of Fundamental Solutions
AU - Berger , J. R.
AU - Karageorghis , Andreas
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 423
EP - 441
PY - 2013
DA - 2013/08
SN - 5
DO - http://doi.org/10.4208/aamm.13-13S02
UR - https://global-sci.org/intro/article_detail/aamm/78.html
KW - Galerkin formulation, Laplace equation, method of fundamental solutions.
AB - <p style="text-align: justify;">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.</p>