A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem

作者：Yang, Jiming; Chen, Yanping; Huang, Yunqing^*

来源：Applied Mathematics and Computation, 2018, 334: 141-151.

DOI：10.1016/j.amc.2017.12.022

• A priori error
• Mixed finite element
• Local discontinuous Galerkin
• Miscible displacement problems

A numerical approximation for a kind of incompressible miscible displacement problems in high dimension in porous media is studied. Mixed finite element method is applied to the flow equation, and the transport one is solved by the local discontinuous Galerkin method (LDG). Based on interpolation projection properties and the induction hypothesis, a priori hp error estimates are obtained. Numerical results are presented, which verify the theoretical results.

• 出版日期2018-10-1
• 单位湘潭大学; 湖南工程学院