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
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.
引用
收藏
页码:4341 / 4370
页数:30
相关论文
共 50 条
  • [1] STABILIZED MIXED FINITE ELEMENT METHOD FOR TRANSIENT DARCY FLOW
    Ansari, Shahab U.
    Hussain, Masroor
    Ahmad, Sarvat. M.
    Rashid, Ahmar
    Mazhar, Suleman
    TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING, 2017, 41 (01) : 85 - 97
  • [2] A stabilized mixed finite element method for Darcy-Stokes flow
    Masud, Arif
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2007, 54 (6-8) : 665 - 681
  • [3] A Posteriori Error Estimation of a Stabilized Mixed Finite Element Method for Darcy Flow
    Patricio Barrios, Tomas
    Manuel Cascon, Jose
    Gonzalez, Maria
    BOUNDARY AND INTERIOR LAYERS, COMPUTATIONAL AND ASYMPTOTIC METHODS - BAIL 2014, 2015, 108 : 13 - 23
  • [4] A stabilized mixed finite element method for Darcy flow based on a multiscale decomposition of the solution
    Nakshatrala, K. B.
    Turner, D. Z.
    Hjelmstad, K. D.
    Masud, A.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (33-36) : 4036 - 4049
  • [5] Validating numerical solution of transient Darcy flow using the stabilized mixed finite element method
    Ansari, Shahab U.
    Hussain, Masroor
    Rashid, Ahmar
    Mazhar, Suleman
    Ahmad, S. M.
    Siddiqui, Khalid J.
    SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL, 2018, 94 (01): : 55 - 65
  • [6] Stabilized finite element method for the stationary mixed Stokes–Darcy problem
    Jiaping Yu
    Md. Abdullah Al Mahbub
    Feng Shi
    Haibiao Zheng
    Advances in Difference Equations, 2018
  • [7] A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
    Rui, Hongxing
    Zhang, Ran
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (33-36) : 2692 - 2699
  • [8] Stabilized finite element method for the stationary mixed Stokes-Darcy problem
    Yu, Jiaping
    Al Mahbub, Md Abdullah
    Shi, Feng
    Zheng, Haibiao
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [9] A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport
    Rui, Hongxing
    Zhang, Jingyuan
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 315 : 169 - 189
  • [10] PRESSURE STABILIZED FINITE ELEMENT FORMULATION FOR DARCY FLOW
    Nafa, Kamel
    ALGORITMY 2009: 18TH CONFERENCE ON SCIENTIFIC COMPUTING, 2009, : 341 - 349