Displaying similar documents to “Error estimates for Stokes problem with Tresca friction conditions”

Coupling Darcy and Stokes equations for porous media with cracks

Christine Bernardi, Frédéric Hecht, Olivier Pironneau (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In order to handle the flow of a viscous incompressible fluid in a porous medium with cracks, the thickness of which cannot be neglected, we consider a model which couples the Darcy equations in the medium with the Stokes equations in the cracks by a new boundary condition at the interface, namely the continuity of the pressure. We prove that this model admits a unique solution and propose a mixed formulation of it. Relying on this formulation, we describe a finite element discretization...

Formulations Mixtes Augmentées et Applications

Boujemâa Achchab, Abdellatif AGOUZAL (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We propose and analyse a abstract framework for augmented mixed formulations. We give error estimate in the general case: conforming and nonconforming approximations with or without numerical integration. Finally, error estimator is given. An example of stabilized formulation for Stokes problem is analysed.