Analysis of Discontinuous Galerkin Methods for Multicomponent Reactive Transport Problems

Shuyu Sun; M. F. Wheeler

doi:10.1016/j.camwa.2006.10.004

Analysis of Discontinuous Galerkin Methods for Multicomponent Reactive Transport Problems

Shuyu Sun^*, M. F. Wheeler

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

26 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 language	English (US)
Pages (from-to)	637-650
Number of pages	14
Journal	Computers and Mathematics with Applications
Volume	52
Issue number	5
DOIs	https://doi.org/10.1016/j.camwa.2006.10.004
State	Published - Sep 2006
Externally published	Yes

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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10.1016/j.camwa.2006.10.004

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title = "Analysis of Discontinuous Galerkin Methods for Multicomponent Reactive Transport Problems",

abstract = "Primal discontinuous Galerkin (DG) methods, including the Oden-Babu{\v s}ka-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.",

keywords = "Discontinuous Galerkin methods, Error estimates, Multicomponent systems, Reaction, Transport",

author = "Shuyu Sun and Wheeler, {M. F.}",

year = "2006",

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AU - Sun, Shuyu

AU - Wheeler, M. F.

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AB - 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.

KW - Discontinuous Galerkin methods

KW - Error estimates

KW - Multicomponent systems

KW - Reaction

KW - Transport

UR - http://www.scopus.com/inward/record.url?scp=33846857743&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2006.10.004

DO - 10.1016/j.camwa.2006.10.004

M3 - Article

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JF - Computers and Mathematics with Applications

IS - 5

ER -

Analysis of Discontinuous Galerkin Methods for Multicomponent Reactive Transport Problems

Abstract

Keywords

ASJC Scopus subject areas

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