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

FENG Min-Fu;QI Rui-Sheng;ZHU Rui;JU Bing-Tao

doi:10.1007/s10483-010-0312-z

Applied Mathematics and Mechanics >

2010 , Vol. 31 >Issue 3: 393 - 404

DOI: https://doi.org/10.1007/s10483-010-0312-z

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

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1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China;
2. Department of Information Technology, CNOOC Energy Technology and Services Limited Beijing Branch Company, Beijing 100027, P. R. China

Received date: 2009-06-12

Revised date: 2010-01-10

Online published: 2010-03-01

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Abstract

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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FENG 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) : 393 -404 . DOI: 10.1007/s10483-010-0312-z

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