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A splitting method using discontinuous Galerkin for the transient incompressibleNavier-Stokes equations

Published online by Cambridge University Press:  15 November 2005

Vivette Girault ,
Béatrice Rivière  and
Mary F. Wheeler
Vivette Girault
Affiliation:
Université Pierre et Marie Curie, Paris VI, Laboratoire Jacques-Louis Lions, , place Jussieu, 75252 Paris Cedex 05, France. girault@ann.jussieu.fr
Béatrice Rivière
Affiliation:
Department of Mathematics, University of Pittsburgh, 301 Thackeray, Pittsburgh, PA 15260, USA. riviere@math.pitt.edu
Mary F. Wheeler
Affiliation:
Center for Subsurface Modeling, Institute for Computational Engineering and Sciences, University of Texas, 201 E. 24th St., Austin TX 78712, USA. mfw@ices.utexas.edu
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Abstract

In this paper we solve the time-dependent incompressible Navier-Stokesequations by splitting the non-linearity and incompressibility, andusing discontinuous or continuous finite element methods in space. Weprove optimal error estimates for the velocity and suboptimalestimates for the pressure. We present some numerical experiments.

Keywords

Operator splittingtime-dependent Navier-StokesSIPG.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 6 , November 2005 , pp. 1115 - 1147
Copyright
© EDP Sciences, SMAI, 2005

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