Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport

Shuyu Sun*, Mary F. Wheeler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We consider adaptive discontinuous Galerkin (DG) methods for solving reactive transport problems in porous media. To guide anisotropic and dynamic mesh adaptation, a posteriori error estimators based on solving local problems are established. These error estimators are efficient to compute and effective to capture local phenomena, and they apply to all the four primal DG schemes, namely, symmetric interior penalty Galerkin, nonsymmetric interior penalty Galerkin, incomplete interior penalty Galerkin, and the Oden - Babuška-Baumann version of DG. Numerical results are provided to illustrate the effectiveness of the proposed error estimators.

Original languageEnglish (US)
Pages (from-to)87-101
Number of pages15
JournalComputational Geosciences
Volume11
Issue number2
DOIs
StatePublished - Jun 1 2007

Keywords

  • A posteriori error estimators
  • Discontinuous Galerkin methods
  • IIPG
  • NIPG
  • OBB-DG
  • Reactive transport
  • SIPG

ASJC Scopus subject areas

  • Computer Science Applications
  • Computers in Earth Sciences
  • Computational Theory and Mathematics
  • Computational Mathematics

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