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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Communicated by Zhe-wei ZHOU
Project supported by the Science and Technology Foundation of Sichuan Province (No. 05GG006-006-2)
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Feng, Mf., Qi, Rs., Zhu, R. et al. Stabilized Crouzeix-Raviart element for the coupled Stokes and Darcy problem. Appl. Math. Mech.-Engl. Ed. 31, 393–404 (2010). https://doi.org/10.1007/s10483-010-0312-z
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DOI: https://doi.org/10.1007/s10483-010-0312-z