A computational study of the weak Galerkin method for second-order elliptic equations. (English) Zbl 1271.65140
Summary: The weak Galerkin finite element method is a novel numerical method that was first proposed and analyzed by J. Wang and X. Ye [J. Comput. Appl. Math. 241, 103–115 (2013; Zbl 1261.65121)] for general second-order elliptic problems on triangular meshes. The goal of this paper is to conduct a computational investigation for the weak Galerkin method for various model problems with more general finite element partitions. The numerical results confirm the theory established by Wang and Ye [loc. cit.]. The results also indicate that the weak Galerkin method is efficient, robust, and reliable in scientific computing.
MSC:
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 35J25 | Boundary value problems for second-order elliptic equations |
Keywords:
finite element methods; weak Galerkin methods; second-order elliptic problem; numerical resultsCitations:
Zbl 1261.65121Software:
mfemReferences:
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