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A posteriori error estimate of weak Galerkin fem for second order elliptic problem with mixed boundary condition
Discrete and Continuous Dynamical Systems-Series B ( IF 1.2 ) Pub Date : 2020-11-16 , DOI: 10.3934/dcdsb.2020340
Shenglan Xie , Maoan Han , Peng Zhu

A reliable and efficient a posteriori error estimator is presented for a weak Galerkin finite element method without stabilizer for the second order elliptic equation with mixed boundary conditions. The upper bound of the estimator is proved by Helmholtz decomposition technique and lower bound is hold naturally. The performance of the estimator is illustrated by numerical experiments.

中文翻译:

混合边界条件下二阶椭圆问题弱伽辽金有限元的后验误差估计

针对混合边界条件的二阶椭圆方程不带稳定器的弱Galerkin有限元方法,提出了一种可靠有效的后验误差估计器。估计量的上界由亥姆霍兹分解技术证明,下界自然成立。通过数值实验说明了估计器的性能。
更新日期:2020-11-16
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