Convergence of Adaptive Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

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作者
Yingying Xie
Liuqiang Zhong
机构
[1] South China Normal University,School of Mathematics Sciences
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关键词
Weak Galerkin; Finite element methods; Convergence; Second-order elliptic problems; Adaptive; 65N12; 65N30; 35J20;
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摘要
We consider a standard Adaptive weak Galerkin (AWG) finite element method for second order elliptic problems. We prove that the sum of the energy error and the scaled error estimator of AWG method, between two consecutive adaptive loops, is a contraction. At last, we present some numerical experiments to support the theoretical results.
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