Analysis of Discontinuous Galerkin Methods for Multicomponent Reactive Transport Problems

Shuyu Sun*, M. F. Wheeler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

Primal discontinuous Galerkin (DG) methods, including the Oden-Babuška-Baumann version of DG, are formulated for solving multicomponent reactive transport problems in porous media. Using the information of chemical stoichiometry, an efficient approach is proposed for a special case of multicomponent reactive transport without immobile species. A priori error analysis is conducted to establish the convergence of DG methods for multicomponent reactive transport systems, which is optimal in h and nearly optimal in p.

Original languageEnglish (US)
Pages (from-to)637-650
Number of pages14
JournalComputers and Mathematics with Applications
Volume52
Issue number5
DOIs
StatePublished - Sep 1 2006

Keywords

  • Discontinuous Galerkin methods
  • Error estimates
  • Multicomponent systems
  • Reaction
  • Transport

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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