Volume 44, Number 3, May-June 2010
|Page(s)||531 - 571|
|Published online||23 February 2010|
Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system
Mathematisches Institut, Universität Tübingen, Auf der
Morgenstelle 10, 72076 Tübingen, Germany. firstname.lastname@example.org
2 Department of Chemical Engineering, MIT Boston, 25 Ames Street, Cambridge, MA 02139, USA. email@example.com
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.
Mathematics Subject Classification: 65N30 / 35L60 / 35L65
Key words: Electrohydrodynamics / space-time discretization / finite elements / convergence
© EDP Sciences, SMAI, 2010
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