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Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two‐phase flow in porous media |
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| Authors: | Jisheng Kou Shuyu Sun |
| Affiliation: | 1. School of Mathematics and Statistics, Hubei Engineering University, , Xiaogan 432100, Hubei, China;2. Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, , Thuwal 23955‐6900, Saudi Arabia |
| Abstract: | 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 L2(H1) for saturation and in L ∞ (H(div)) for velocity are derived. Copyright © 2013 John Wiley & Sons, Ltd. |
| Keywords: | two‐phase flow discontinuous Galerkin method mixed finite element method existence and uniqueness error estimate |