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Error analysis for a monolithic discretization of coupled Darcy and Stokes problems
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V. Girault
Published/Copyright:
May 28, 2014
Abstract
The coupled Stokes and Darcy equations are approximated by a strongly conservative finite element method. The discrete spaces are the divergence-conforming velocity space with matching pressure space such as the Raviart-Thomas spaces. This work proves optimal error estimate of the velocity in the L2 norm in the domain and on the interface. Lipschitz regularity of the interface is sufficient to obtain the results.
Published Online: 2014-5-28
Published in Print: 2014-6-1
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Masthead
- A posteriori control of modelling and discretization errors for quasi periodic solutions
- Error analysis for a monolithic discretization of coupled Darcy and Stokes problems
- Fully implicit nonstationary flow simulations with a monolithic off-lattice Boltzmann approach
- Second derivative GLM with nearly ARK stability
Keywords for this article
Darcy-Stokes coupling;
Beavers-Joseph-Saffman condition;
mixed finite elements
Articles in the same Issue
- Masthead
- A posteriori control of modelling and discretization errors for quasi periodic solutions
- Error analysis for a monolithic discretization of coupled Darcy and Stokes problems
- Fully implicit nonstationary flow simulations with a monolithic off-lattice Boltzmann approach
- Second derivative GLM with nearly ARK stability
