Flueck, M.Janka, A.Laurent, C.Picasso, M.Rappaz, J.Steiner, G.2011-11-162011-11-162011-11-16201010.1007/s10915-008-9227-3https://infoscience.epfl.ch/handle/20.500.14299/72642WOS:000277146200003In this paper, we present a mathematical modeling of some magnetohydrodynamic effects arising in an aluminum production cell as well as its numerical approximation by a finite element method. We put the emphasis on the magnetic effects which live in the whole three dimensional space and which are solved numerically with a domain decomposition method.Maxwell equationsDomain decompositionMagnetohydrodynamicsFree surface problemAluminum productionStabilitytext::journal::journal article::research article