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An extension of the Crouzeix--Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow

\begin{inparaenum}[(i)]\item the design of a locking-free primal (as opposed to ... ... a Helmholtz decomposition of the right-hand side is available. \end{inparaenum} The relation between the proposed methods and classical finite volume and finite element schemes on standard meshes is investigated....

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Bibliographic Details
Published in:Mathematics of computation 2015-01, Vol.84 (291), p.1-31
Main Authors: DI PIETRO, DANIELE A., LEMAIRE, SIMON
Format: Article
Language:English
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Summary:\begin{inparaenum}[(i)]\item the design of a locking-free primal (as opposed to ... ... a Helmholtz decomposition of the right-hand side is available. \end{inparaenum} The relation between the proposed methods and classical finite volume and finite element schemes on standard meshes is investigated. Finally, similar ideas are exploited to mimic key properties of the lowest-order Raviart-Thomas space on general polygonal or polyhedral meshes.]]>
ISSN:0025-5718
1088-6842
DOI:10.1090/S0025-5718-2014-02861-5