| Issue |
ESAIM: M2AN
Volume 47, Number 3, May-June 2013
|
|
|---|---|---|
| Page(s) | 789 - 805 | |
| DOI | https://doi.org/10.1051/m2an/2012050 | |
| Published online | 29 March 2013 | |
Dual-mixed finite element methods for the Navier-Stokes equations∗,∗∗
1
Department of Mathematics, College of Charleston,
Charleston, 29424
SC, USA
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2
Department of Mathematics, Carnegie Mellon
University, Pittsburgh, 15213
PA, USA
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Received:
23
June
2011
Revised:
11
July
2012
Abstract
A mixed finite element method for the Navier–Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier–Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf–sup conditions are developed.
Mathematics Subject Classification: 65N60 / 65N12 / 65M60 / 65M12
Key words: Navier–Stokes equations / mixed methods
Supported in part by National Science Foundation Grants DMS-1115228 This work was also supported by the NSF through the Center for Nonlinear Analysis.
This material is partially based upon work supported by the Center for Nonlinear Analysis (CNA) under the National Science Foundation Grant No. DMS-0635983.
© EDP Sciences, SMAI, 2013
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