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 publicationJournal articleAcademic researchpeer-review

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 languageEnglish
Pages (from-to)601-616
Number of pages16
JournalNumerical Methods for Partial Differential Equations
Volume36
Issue number3
DOIs
Publication statusPublished - 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

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