Mixed finite element methods for generalized forchheimer flow in porous media

被引：80
作者：
Park, EJ [1 ]
机构：
[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 21卷 / 02期
关键词：
non-Darcy flow; Forchheimer's law; mixed methods; error estimates;
D O I：
10.1002/num.20035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Mixed finite element methods are analyzed for the approximation of the solution of the system of equations that describes the flow of a single-phase fluid in a porous medium in R-d, d less than or equal to 3, subject to Forchhheimer's law-a nonlinear form of Darcy's law. Existence and uniqueness of the approximation are proved, and optimal order error estimates in L-infinity(J; L-2(Omega)) and in Linfinity(J; H(div; Omega)) are demonstrated for the pressure and momentum, respectively. Error estimates are also derived in L-infinity(J; L-infinity(Omega)) for the pressure. (C) 2004 Wiley Periodicals. Inc.
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收藏
页码：213 / 228
页数：16
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