A combined mixed and discontinuous Galerkin method for compressible miscible displacement problem in porous media

Authors:
Mingrong Cui
Affiliations:
School of Mathematics and System Sciences, Shandong University, Jinan, Shandong, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

In this paper, we present a numerical scheme for solving the coupled system of compressible miscible displacement problem in porous media. The flow equation is solved by the mixed finite element method, and the transport equation is approximated by a discontinuous Galerkin method. The scheme is continuous in time and a priori hp error estimates is presented.