NDLI: Error analysis for a monolithic discretization of coupled Darcy and Stokes problems

Content Provider	Scilit
Author	Girault, V. Kanschat, G. Rivière, B.
Copyright Year	2014
Description	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 $L^{2}$ norm in the domain and on the interface. Lipschitz regularity of the interface is sufficient to obtain the results.
Related Links	http://conservancy.umn.edu/bitstream/11299/181199/1/2390.pdf
ISSN	15693953
DOI	10.1515/jnma-2014-0005
Journal	Journal of Numerical Mathematics
Issue Number	2
Volume Number	22
Language	English
Publisher	Walter de Gruyter GmbH
Publisher Date	2014-01-01
Access Restriction	Open
Subject Keyword	Journal: Journal of Numerical Mathematics Journal of Numerical Mathematics Mathematical and Computational Biology Darcy-stokes Coupling Beavers-joseph-saffman Condition Mixed Finite Elements
Content Type	Text
Resource Type	Article
Subject	Numerical Analysis Computational Mathematics

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