Analysis of a semidiscrete discontinuous Galerkin scheme for compressible miscible displacement problem

Authors:
Mingrong Cui
Affiliations:
School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

Numerical approximation of the coupled system of compressible miscible displacement problem in porous media is considered in this paper. A continuous in time discontinuous Galerkin scheme is developed. The symmetric interior penalty discontinuous Galerkin method is used to solve both the flow and transport equations. Upwind technique is used to treat the convection term in the transport equation. The hp-a priori error bounds are derived.