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Erschienen in:
2002 | OriginalPaper | Buchkapitel
A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media
verfasst von : Shuyu Sun, Béatrice Rivière, Mary F. Wheeler
Erschienen in: Recent Progress in Computational and Applied PDES
Verlag: Springer US
Enthalten in: Professional Book Archive
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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 L2(H1) for concentration and in L∞(L2) for velocity are derived.