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Finite element approximation
for equations of magnetohydrodynamics

Author: Matthias Wiedmer
Journal: Math. Comp. 69 (2000), 83-101
MSC (1991): Primary 65N30, 65N15, 76W05, 35Q20
Published electronically: August 17, 1999
MathSciNet review: 1654014
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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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Additional Information

Matthias Wiedmer
Affiliation: Fakultät für Mathematik, Ruhr-Universität Bochum, D-44780 Bochum, Germany
Address at time of publication: Usterstrasse 29, CH-8620 Wetzikon, Switzerland

Keywords: Magnetohydrodynamics, nonlinear problems, inhomogeneous boundary conditions.
Received by editor(s): January 19, 1998
Published electronically: August 17, 1999
Article copyright: © Copyright 1999 American Mathematical Society

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