A posteriori error estimate for discontinuous Galerkin finite element method on polytopal mesh

Jintao Cui; Fuzheng Gao; Zhengjia Sun; Peng Zhu

doi:10.1002/num.22443

A posteriori error estimate for discontinuous Galerkin finite element method on polytopal mesh

Jintao Cui, Fuzheng Gao, Zhengjia Sun, Peng Zhu

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

Abstract

In this work, we derive a posteriori error estimates for discontinuous Galerkin finite element method on polytopal mesh. We construct a reliable and efficient a posteriori error estimator on general polygonal or polyhedral meshes. An adaptive algorithm based on the error estimator and DG method is proposed to solve a variety of test problems. Numerical experiments are performed to illustrate the effectiveness of the algorithm.

Original language	English
Pages (from-to)	601-616
Number of pages	16
Journal	Numerical Methods for Partial Differential Equations
Volume	36
Issue number	3
DOIs	https://doi.org/10.1002/num.22443
Publication status	Published - 1 May 2020

Keywords

a posteriori error estimate
discontinuous Galerkin methods
polytopal mesh
second-order elliptic problems

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

More information

10.1002/num.22443

Cite this

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abstract = "In this work, we derive a posteriori error estimates for discontinuous Galerkin finite element method on polytopal mesh. We construct a reliable and efficient a posteriori error estimator on general polygonal or polyhedral meshes. An adaptive algorithm based on the error estimator and DG method is proposed to solve a variety of test problems. Numerical experiments are performed to illustrate the effectiveness of the algorithm.",

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AU - Cui, Jintao

AU - Gao, Fuzheng

AU - Sun, Zhengjia

AU - Zhu, Peng

PY - 2020/5/1

Y1 - 2020/5/1

N2 - In this work, we derive a posteriori error estimates for discontinuous Galerkin finite element method on polytopal mesh. We construct a reliable and efficient a posteriori error estimator on general polygonal or polyhedral meshes. An adaptive algorithm based on the error estimator and DG method is proposed to solve a variety of test problems. Numerical experiments are performed to illustrate the effectiveness of the algorithm.

AB - In this work, we derive a posteriori error estimates for discontinuous Galerkin finite element method on polytopal mesh. We construct a reliable and efficient a posteriori error estimator on general polygonal or polyhedral meshes. An adaptive algorithm based on the error estimator and DG method is proposed to solve a variety of test problems. Numerical experiments are performed to illustrate the effectiveness of the algorithm.

KW - a posteriori error estimate

KW - discontinuous Galerkin methods

KW - polytopal mesh

KW - second-order elliptic problems

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U2 - 10.1002/num.22443

DO - 10.1002/num.22443

M3 - Journal article

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JO - Numerical Methods for Partial Differential Equations

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IS - 3

ER -

A posteriori error estimate for discontinuous Galerkin finite element method on polytopal mesh

Abstract

Keywords

ASJC Scopus subject areas

More information

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