Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

Mu, Lin

doi:10.1016/j.cam.2019.04.026

Title: Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

Journal Article · Sun Dec 01 00:00:00 EST 2019 · Journal of Computational and Applied Mathematics

DOI:https://doi.org/10.1016/j.cam.2019.04.026· OSTI ID:2224131

In this paper, we present a posteriori error estimate of weak Galerkin (WG) finite element methods based on the second order elliptic interface problems. This estimate can be applied to polygonal meshes or meshes with hanging nodes. The reliability and efficiency of the designed error estimator has been proved in this work. Extensive numerical tests are performed to validate our algorithm. Finally, these results demonstrate the effectiveness of the adaptive mesh refinement guided by the proposed error estimator.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 2224131

Alternate ID(s):: OSTI ID: 1531206; OSTI ID: 1702749

Journal Information:: Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Vol. 361 Journal Issue: C; ISSN 0377-0427

Publisher:: ElsevierCopyright Statement

Country of Publication:: Belgium

Language:: English

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Cited by: 9 works

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References (26)

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97 MATHEMATICS AND COMPUTING
Weak Galerkin
Finite element methods
Second-order elliptic interface problems
A posterior error estimate
Polygonal meshes

Title: Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

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