Finite element approximation for equations of magnetohydrodynamics

Wiedmer, Matthias

doi:10.1090/S0025-5718-99-01146-1

Finite element approximation for equations of magnetohydrodynamics
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by Matthias Wiedmer PDF

Math. Comp. 69 (2000), 83-101 Request permission

Abstract:

We consider the equations of stationary incompressible magnetohydrodynamics posed in three dimensions, and treat the full coupled system of equations with inhomogeneous boundary conditions. We prove the existence of solutions without any conditions on the data. Also we discuss a finite element discretization and prove the existence of a discrete solution, again without any conditions on the data. Finally, we derive error estimates for the nonlinear case.

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