| Retreat 2007 MAIN PAGE Retreat 2007 SCHEDULE Retreat 2007 PICTURES |
A mixed variational formulation for the equations of incompressible magneto-hydrodynamics is introduced and analyzed. Two finite element approximations are proposed, in which the hydrodynamic unknowns are discretized by standard inf-sup stable velocity-pressure pair, and the magnetic ones by either a mixed approach using Nedelec's elements of the first kind or a non-stabilized discontinuous Galerkin method. A priori error estimates in the energy norm are derived which show optimal convergence rates.
| Retreat 2007 MAIN PAGE Retreat 2007 SCHEDULE Retreat 2007 PICTURES |