A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media

Shuyu Sun (), Béatrice Rivière () and Mary F. Wheeler ()
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Shuyu Sun: The University of Texas, The Center for Subsurface Modeling, Texas Institute of Computational and Applied Mathematics
Béatrice Rivière: The University of Texas, The Center for Subsurface Modeling, Texas Institute of Computational and Applied Mathematics
Mary F. Wheeler: The University of Texas, The Center for Subsurface Modeling, Texas Institute of Computational and Applied Mathematics

A chapter in Recent Progress in Computational and Applied PDES, 2002, pp 323-351 from Springer

Abstract: Abstract A combined method consisting of the mixed finite element method for flow and the discontinuous Galerkin method for transport is introduced for the coupled system of miscible displacement problem. A “cut-off” operator M is introduced in the discontinuous Galerkin formular in order to make the combined scheme converge. Optimal error estimates in L 2(H 1) for concentration and in L ∞(L 2) for velocity are derived.

Keywords: discontinuous Galerkin method; mixed finite element method; miscible displacement; error estimate (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0113-8_23

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DOI: 10.1007/978-1-4615-0113-8_23

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