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Dual-mixed finite element methods for the Navier-Stokes equations∗∗∗

Published online by Cambridge University Press:  29 March 2013

Jason S. Howell and
Noel J. Walkington
Jason S. Howell
Affiliation:
Department of Mathematics, College of Charleston, Charleston, 29424 SC, USA. howelljs@cofc.edu
Noel J. Walkington
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh, 15213 PA, USA; noelw@andrew.cmu.edu

Abstract

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A mixed finite element method for the Navier–Stokes equations is introduced in which thestress is a primary variable. The variational formulation retains the mathematicalstructure of the Navier–Stokes equations and the classical theory extends naturally tothis setting. Finite element spaces satisfying the associated inf–sup conditions aredeveloped.

Keywords

Navier–Stokes equationsmixed methods

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 47 , Issue 3 , May 2013, pp. 789 - 805
Copyright
© EDP Sciences, SMAI, 2013

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