Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media

作者：Kou Jisheng; Sun Shuyu^*

来源：Mathematical Methods in the Applied Sciences, 2014, 37(7): 962-982.

DOI：10.1002/mma.2854

• two-phase flow
• mixed finite element method
• discontinuous Galerkin method
• error estimate
• existence and uniqueness

We analyze a combined method consisting of the mixed finite element method for pressure equation and the discontinuous Galerkin method for saturation equation for the coupled system of incompressible two-phase flow in porous media. The existence and uniqueness of numerical solutions are established under proper conditions by using a constructive approach. Optimal error estimates in L-2(H-1) for saturation and in L- infinity (H(div)) for velocity are derived.

• 出版日期2014-5-15
• 单位湖北工程学院