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

被引：17
|
作者：
Kou, Jisheng [1 ]
Sun, Shuyu [2 ]
机构：
[1] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432100, Hubei, Peoples R China
[2] King Abdullah Univ Sci & Technol, Div Phys Sci & Engn, Computat Transport Phenomena Lab, Thuwal 239556900, Saudi Arabia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 07期
关键词：
two-phase flow; mixed finite element method; discontinuous Galerkin method; error estimate; existence and uniqueness; NUMERICAL-SIMULATION; FRACTURED MEDIA; VOLUME METHOD; COUPLED FLOW; CONVERGENCE; MODEL;
D O I：
10.1002/mma.2854
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：962 / 982
页数：21
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