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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (3): 393-404.doi: https://doi.org/10.1007/s10483-010-0312-z

• Articles • Previous Articles    

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

FENG Min-Fu1, QI Rui-Sheng1, ZHU Rui1, JU Bing-Tao2   

  1. 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:2009-06-12 Revised:2010-01-10 Online:2010-03-01 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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