Geodesic
A two-level discretization method for the stationary MHD equations
Electronic transactions on numerical analysis, Tome 6 (1997), pp. 198-210
We describe and analyze a two-level finite-element method for discretizing the equations of stationary, viscous, incompressible magnetohydrodynamics (or MHD). These equations, which model the flow of electrically conducting fluids in the presence of electromagnetic fields, arise in plasma physics and liquid-metal technology as well as in geophysics and astronomy. We treat the equations under physically realistic ("nonideal") boundary conditions that account for the electromagnetic interaction of the fluid with the surrounding media.
Classification : 76W05, 65N30, 35Q30, 35Q35, 35Q60, 35A15, 65N12, 65N15
Keywords: magnetohydrodynamics, Navier-Stokes equations, Maxwell's equations, variational methods, finite elements 
@article{ETNA_1997__6__a6,
     author = {Layton,  W.J. and Meir,  A.J. and Schmidt,  P.G.},
     title = {A two-level discretization method for the stationary {MHD} equations},
     journal = {Electronic transactions on numerical analysis},
     pages = {198--210},
     year = {1997},
     volume = {6},
     zbl = {0898.76059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1997__6__a6/}
}
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%F ETNA_1997__6__a6
Layton,  W.J.; Meir,  A.J.; Schmidt,  P.G. A two-level discretization method for the stationary MHD equations. Electronic transactions on numerical analysis, Tome 6 (1997), pp. 198-210. http://geodesic.mathdoc.fr/item/ETNA_1997__6__a6/