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

Boundary value problems

Yan Luo¹  Minfu Feng²  Youcai Xu² 

[1] School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, PR China;School of Mathematics, Sichuan University, Chengdu, PR China

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

DOI  :  10.1186/1687-2770-2011-48

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY