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Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system

Published online by Cambridge University Press:  23 February 2010

Andreas Prohl
Affiliation:
Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany. prohl@na.uni-tuebingen.de
Markus Schmuck
Affiliation:
Department of Chemical Engineering, MIT Boston, 25 Ames Street, Cambridge, MA 02139, USA. schmuck@mit.edu
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Abstract

We propose and analyse two convergent fully discrete schemes to solve the incompressible Navier-Stokes-Nernst-Planck-Poisson system. The first scheme converges to weak solutions satisfying an energy and an entropy dissipation law. The second scheme uses Chorin's projection method to obtain an efficient approximation that converges to strong solutions at optimal rates.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2010

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