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Open Access Research

A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem

Yan Luo1, Minfu Feng2 and Youcai Xu2*

Author Affiliations

1 School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China

2 School of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China

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Boundary Value Problems 2011, 2011:48  doi:10.1186/1687-2770-2011-48

Published: 25 November 2011

Abstract

A new fully discrete stabilized discontinuous Galerkin method is proposed to solve the incompressible miscible displacement problem. For the pressure equation, we develop a mixed, stabilized, discontinuous Galerkin formulation. We can obtain the optimal priori estimates for both concentration and pressure.

Keywords:
Discontinuous Galerkin methods; a priori error estimates; incompressible miscible displacement