DISCACCIATI, M., 2008. Numerical approximation of a steady MHD problem. IN: Langar, U. ... et al (eds). Domain Decomposition Methods in Science and Engineering XVII, Part II. Berlin: Springer Berlin Heidelberg, pp.313-320.
Lecture Notes in Computational Science and Engineering;60
We consider a magnetohydrodynamic (MHD) problem which models
the steady flow of a conductive incompressible fluid confined in a bounded region and subject to the Lorentz force exerted by the interaction of electric currents and magnetic fields. We present an iterative method inspired to operator splitting to solve this nonlinear coupled problem, and a discretization based on conforming finite elements.
The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-540-75199-1_37