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

页码：962 / 982

页数：21

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