A unified stabilized mixed finite element method for coupling Stokes and Darcy flows. (English) Zbl 1228.76090

Rui, Hongxing; Zhang, Ran

Comput. Methods Appl. Mech. Eng. 198, No. 33-36, 2692-2699 (2009).

Summary: A stabilized mixed finite element method for solving the coupled Stokes and Darcy flows problem is formulated and analyzed. The approach utilizes the same nonconforming Crouzeix-Raviart element discretization on the entire domain. A discrete inf-sup condition and an optimal a priori error estimate are derived. Finally, some numerical examples verifying the theoretical predictions are presented.

MSC:

76M10	Finite element methods applied to problems in fluid mechanics
76S05	Flows in porous media; filtration; seepage
76D07	Stokes and related (Oseen, etc.) flows

Keywords:

coupled Stokes and Darcy flows; mixed finite element; stabilized method; Crouzeix-Raviart element

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