Error analysis for a monolithic discretization of coupled Darcy and Stokes problems
KAUST Grant NumberKUS-C1-016-04
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Abstract© de Gruyter 2014. 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.
CitationGirault V, Kanschat G, Rivière B (2014) Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Journal of Numerical Mathematics 22. Available: http://dx.doi.org/10.1515/jnma-2014-0005.
SponsorsSupported in part by the National Science Foundation through grants no. DMS-0810387 and DMS-0810422 and by the King Abdullah University of Science and Technology (KAUST) through award no. KUS-C1-016-04. Part of this research was prepared at the Institute for Mathematics and its Applications in Minneapolis. The first author was Visiting Professor at the Mathematics Department of Texas A & M University.
PublisherWalter de Gruyter GmbH
JournalJournal of Numerical Mathematics