Stabilized Crouzeix-Raviart Element for the Coupled Stokes and Darcy Problem

FEGN Min-fu; QI Rui-sheng; ZHU Rui; JU Bing-tao

doi:10.3879/j.issn.1000-0887.2010.03.012

Volume 31 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 2010 > 31(3): 369-378

FEGN Min-fu, QI Rui-sheng, ZHU Rui, JU Bing-tao. Stabilized Crouzeix-Raviart Element for the Coupled Stokes and Darcy Problem[J]. Applied Mathematics and Mechanics, 2010, 31(3): 369-378. doi: 10.3879/j.issn.1000-0887.2010.03.012

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Stabilized Crouzeix-Raviart Element for the Coupled Stokes and Darcy Problem

doi: 10.3879/j.issn.1000-0887.2010.03.012

Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-01-25
Publish Date: 2010-03-15

Abstract

Abstract

A new stabilized finite element method for the coupled Stokes and Darcy problem was introduced based on the noncom forming Crouzeix-Raviart element. Optimal error estimates for the fluid velocity and pressure were derived. Finally, a numerical example verifying the theoretical predictions was presented.
- coupled problem,
- mass conservation,
- stabilized element method

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References(23)

References

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