Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system
ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 3, pp. 531-571.

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.

DOI : 10.1051/m2an/2010013
Classification : 65N30, 35L60, 35L65
Mots-clés : electrohydrodynamics, space-time discretization, finite elements, convergence 
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Prohl, Andreas; Schmuck, Markus. Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system. ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 3, pp. 531-571. doi : 10.1051/m2an/2010013. https://www.numdam.org/articles/10.1051/m2an/2010013/

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