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Journal of Scientific Computing
Published in: Journal of Scientific Computing 2/2014

01-05-2014

A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Authors: Long Chen, Junping Wang, Xiu Ye

Published in: Journal of Scientific Computing | Issue 2/2014

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Abstract

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 \(H^1\)-equivalent norm for the exact error. Two numerical experiments are conducted to demonstrate the effectiveness of adaptive mesh refinement guided by this estimator.
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Metadata
Title
A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
Authors
Long Chen
Junping Wang
Xiu Ye
Publication date
01-05-2014
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 2/2014
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-013-9771-3

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