A stabilized mixed finite element method for Darcy flow

被引：226
作者：
Masud, A [1 ]
Hughes, TJR
机构：
[1] Univ Illinois, Dept Civil & Mat Engn, Chicago, IL 60607 USA
[2] Stanford Univ, Div Mech & Computat, Dept Mech Engn, Stanford, CA 94305 USA
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2002年 / 191卷 / 39-40期
基金：
美国国家航空航天局;
关键词：
D O I：
10.1016/S0045-7825(02)00371-7
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We develop new stabilized mixed finite element methods for Darcy flow. Stability and an a priori error estimate in the "stability norm" are established. A wide variety of convergent finite elements present themselves, unlike the classical Galerkin formulation which requires highly specialized elements. An interesting feature of the formulation is that there are no mesh-dependent parameters. Numerical tests confirm the theoretical results. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：4341 / 4370
页数：30
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