In this paper,we introduce two Galerkin formulations of theMethod of Fundamental Solutions(MFS).In contrast to the collocation formulation of the MFS,the proposed Galerkin formulations involve the evaluation of integr...In this paper,we introduce two Galerkin formulations of theMethod 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.展开更多
文摘In this paper,we introduce two Galerkin formulations of theMethod 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.
