Analysis of Discontinuous Galerkin Methods for Multicomponent Reactive Transport Problems

Authors:
Shuyu Sun;M. F. Wheeler
Affiliations:
The Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, Austin, TX 78712, USA;The Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, Austin, TX 78712, USA
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

Primal discontinuous Galerkin (DG) methods, including the Oden-Babuska-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.