Year: 2019
Communications in Computational Physics, Vol. 26 (2019), Iss. 2 : pp. 558–578
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2018-0058
Communications in Computational Physics, Vol. 26 (2019), Iss. 2 : pp. 558–578
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Weak Galerkin finite element methods second-order elliptic problems a posteriori error estimate polytopal meshes.