Issue |
ESAIM: M2AN
Volume 39, Number 6, November-December 2005
|
|
---|---|---|
Page(s) | 1177 - 1202 | |
DOI | https://doi.org/10.1051/m2an:2005051 | |
Published online | 15 November 2005 |
Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system
1
Institut de Recherche Mathematique Avancée,
Université Louis Pasteur, CNRS, 7 rue René Descartes,
67084 Strasbourg Cedex, France. besse@math.u-strasbg.fr
2
Institut für Angewandte Mathematik Universität Freiburg,
Hermann-Herder-Str. 10, 79104 Freiburg i. Br., Germany.
dietmar@mathematik.uni-freiburg.de
Received:
17
January
2005
Revised:
4
July
2005
We present the convergence analysis of locally divergence-free discontinuous Galerkin methods
for the induction equations which appear in the ideal magnetohydrodynamic system. When we use a second order Runge Kutta time discretization, under the CFL condition
, we obtain error
estimates in L2 of order
where m is the degree of the local polynomials.
Mathematics Subject Classification: 76W05 / 65J10
Key words: Magnetohydrodynamics / discontinuous-Galerkin methods / convergence analysis.
© EDP Sciences, SMAI, 2005
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