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Zbl 1077.76037
Burman, Erik; Hansbo, Peter
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. (English)
[J] Numer. Methods Partial Differ. Equations 21, No. 5, 986-997 (2005). ISSN 0749-159X; ISSN 1098-2426/e

Summary: We stabilize the nonconforming Crouzeix-Raviart element for the Darcy-Stokes problem with terms motivated by a discontinuous Galerkin approach. Convergence of the method is shown, also in the limit of vanishing viscosity. Finally, some numerical examples verifying the theoretical predictions are presented.

MSC 2000:: *76M10 Finite element methods
76S05 Flows in porous media
65N15 Error bounds (BVP of PDE)
65N30 Finite numerical methods (BVP of PDE)

Keywords: discontinuous Galerkin method; Convergence; vanishing viscosity

Cited in: Zbl 1115.76042

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