A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
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DOI：
10.1007/s10915-013-9771-3
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发表时间：
2014-05-01
影响因子：
2.5
通讯作者：
Ye, Xiu
中科院分区：
文献类型：
--
作者：
Chen, Long;Wang, Junping;Ye, Xiu
针对二阶椭圆问题的弱伽辽金有限元方法，提出并分析了残差型后验误差估计器。通过两种估计（一种来自下方，另一种来自上方），就精确误差的等效范数而言，误差估计器被证明是高效且可靠的。进行了两个数值实验来证明该估计器引导的自适应网格细化的有效性。
A residual type a posteriori error estimator is presented and analyzed for Weak Galerkin finite element methods for second order elliptic problems. The error estimator is proved to be efficient and reliable through two estimates, one from below and the other from above, in terms of an -equivalent norm for the exact error. Two numerical experiments are conducted to demonstrate the effectiveness of adaptive mesh refinement guided by this estimator.