A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes
A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes
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DOI：
10.4208/cicp.oa-2018-0058
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发表时间：
2019-06
影响因子：
3.7
通讯作者：
Hengguang Li
中科院分区：
文献类型：
--
作者：
Hengguang Li
本文对一类二阶椭圆型方程的弱Galerkin（WG）有限元方法给出了一个简单的后验误差估计。这种残差型估计器可以应用于混合网格、多边形网格和具有悬挂节点的网格。我们证明了估计的可靠性和效率。大量的数值试验表明，该误差估计器指导的网格加密的有效性和灵活性。AMS科目分类：65N15、65N30、35J50
In this paper, we present a simple a posteriori error estimate for the weak Galerkin (WG) finite element method for a model second order elliptic equation. This residual type estimator can be applied to general meshes such as hybrid, polytopal and those with hanging nodes. We prove the reliability and efficiency of the estimator. Extensive numerical tests demonstrate the effectiveness and flexibility of the mesh refinement guided by this error estimator. AMS subject classifications: 65N15, 65N30, 35J50