| Issue |
ESAIM: M2AN
Volume 44, Number 3, May-June 2010
|
|
|---|---|---|
| Page(s) | 531 - 571 | |
| DOI | https://doi.org/10.1051/m2an/2010013 | |
| Published online | 23 February 2010 | |
Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system
1
Mathematisches Institut, Universität Tübingen, Auf der
Morgenstelle 10, 72076 Tübingen, Germany. prohl@na.uni-tuebingen.de
2
Department of Chemical Engineering, MIT Boston, 25 Ames Street,
Cambridge, MA 02139, USA. schmuck@mit.edu
Received:
10
September
2008
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.