A computational study of the weak Galerkin method for second-order elliptic equations
A computational study of the weak Galerkin method for second-order elliptic equations
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DOI：
10.1007/s11075-012-9651-1
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发表时间：
2011-11
影响因子：
2.1
通讯作者：
Lin Mu;Junping Wang;Yanqi Wang;X. Ye
中科院分区：
文献类型：
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作者：
Lin Mu;Junping Wang;Yanqi Wang;X. Ye
弱Galerkin有限元方法是由Wang和Ye（2011）首次提出并分析的一种新的数值方法，用于三角形网格上的一般二阶椭圆问题。本文的目的是进行计算研究的弱伽辽金方法的各种模型问题更一般的有限元划分。数值结果证实了Wang和Ye（2011）建立的理论。计算结果表明，弱伽辽金方法在科学计算中是有效的、鲁棒的和可靠的。
The weak Galerkin finite element method is a novel numerical method that was first proposed and analyzed by Wang and Ye (2011) 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 in Wang and Ye (2011). The results also indicate that the weak Galerkin method is efficient, robust, and reliable in scientific computing.