A monolithic finite element discretization for coupled Darcy-Stokes flow

Braack, Malte and Nafa, Kamel (2013) A monolithic finite element discretization for coupled Darcy-Stokes flow PAMM, 13 (1). pp. 243-244. DOI 10.1002/pamm.201310117.

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Abstract

We consider a Stokes system and a Darcy system in a porous media, mutually coupled together by the the well-known Beaver-Joseph-Saffman interface conditions. Standard approaches use different finite elements in the two parts in order to account for the different stability properties of the two equation systems. In contrast to this, we use standard equal-order finite elements in both parts. Stability is obtained by adding local projection terms (LPS) to the Galerkin formulation. We formulate the scheme and give an a priori estimate. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

Document Type: Article
Research affiliation: OceanRep > The Future Ocean - Cluster of Excellence > FO-R03
Kiel University
OceanRep > The Future Ocean - Cluster of Excellence > FO-R11
Refereed: Yes
DOI etc.: 10.1002/pamm.201310117
ISSN: 16177061
Date Deposited: 08 Mar 2017 09:28
Last Modified: 12 Apr 2017 08:40
URI: http://eprints.uni-kiel.de/id/eprint/36839

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