Stabilized Crouzeix-Raviart element for the coupled Stokes and Darcy problem

This paper introduces a new stabilized finite element method for the coupled Stokes and Darcy problem based on the nonconforming Crouzeix-Raviart element. Optimal error estimates for the fluid velocity and pressure are derived. A numerical example is presented to verify the theoretical predictions.

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 31; no. 3; pp. 393 - 404
Main Author 冯民富 祁瑞生 朱瑞 鞠炳焘
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai University Press 01.03.2010
Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China%Department of Information Technology, CNOOC Energy Technology and Services Limited Beijing Branch Company, Beijing 100027, P. R. China
Subjects
Applications of Mathematics
Classical Mechanics
Fluid flow
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
最优误差估计
有限元方法
理论预测
65N15
Beavers-Joseph-Saffman condition
mass conservation
coupled Stokes and Darcy problem
O242.21
65N30
balance of force
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Summary:This paper introduces a new stabilized finite element method for the coupled Stokes and Darcy problem based on the nonconforming Crouzeix-Raviart element. Optimal error estimates for the fluid velocity and pressure are derived. A numerical example is presented to verify the theoretical predictions.
Bibliography:TM727.2
31-1650/O1
O241.82
Beavers-Joseph-Saffman condition, mass conservation, balance of force,coupled Stokes and Darcy problem
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-010-0312-z