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Finite element approximation for equations of magnetohydrodynamics
Author(s):
Matthias
Wiedmer.
Journal:
Math. Comp.
69
(2000),
83-101.
MSC (1991):
Primary 65N30, 65N15, 76W05, 35Q20
Posted:
August 17, 1999
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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
Email:
wiedmer@smile.ch
DOI:
10.1090/S0025-5718-99-01146-1
PII:
S 0025-5718(99)01146-1
Keywords:
Magnetohydrodynamics,
nonlinear problems,
inhomogeneous boundary conditions.
Received by editor(s):
January 19, 1998
Posted:
August 17, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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