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

作者：Cui Mingrong^*

来源：Journal of Computational and Applied Mathematics, 2008, 214(2): 617-636.

DOI：10.1016/j.cam.2007.03.019

• discontinuous Galerkin method
• compressible miscible displacement
• hp-version
• error estimates

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.

• 出版日期2008-5-1
• 单位山东大学