A robust finite element method for Darcy-Stokes flow

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A robust finite element method for Darcy-Stokes flow

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Title: A robust finite element method for Darcy-Stokes flow
Author: Mardal, Kent Andre; Tai, Xue Cheng; Winther, Ragnar
Copyright year: 2002
Abstract: Finite element methods for a family of systems of singular perturbation problems of a saddle point structure are discussed. The system is approximately a linear Stokes problem when the perturbation parameter is large, while it degenerates to a mixed formulation of Poisson's equation as the perturbation parameter tends to zero. It is established, basically by numerical experiments, that most of the proposed finite element methods for Stokes problem or the mixed Poisson's system are not well behaved uniformly in the perturbation parameter. This is used as the motivation for introducing a new "robust" finite element which exhibits this property.
Subject: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis.
Type: Journal Article
Series/ Journal Title: SIAM Journal on Numerical Analysis.
School: School of Physical and Mathematical Sciences
Rights: SIAM Journal on Numerical Analysis @ copyright 2002 SIAM. The journal's website is located at http://portal.acm.org/citation.cfm?id=588593.
Version: Published version

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