Analysis of discontinuous Galerkin methods for multicomponent reactive transport problems
Primal discontinuous Galerkin (DG) methods, including the Oden-Babuska-Baumann version of DC, 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 DC methods for multicomponent reactive transport systems, which is optimal in h and nearly optimal in p. (c) 2006 Elsevier Ltd. All rights reserved.
discontinuous galerkin methods transport error estimates multicomponent systems reaction