Volume 39, Number 6, November-December 2005
|Page(s)||1177 - 1202|
|Published online||15 November 2005|
Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system
Institut de Recherche Mathematique Avancée,
Université Louis Pasteur, CNRS, 7 rue René Descartes,
67084 Strasbourg Cedex, France. firstname.lastname@example.org
2 Institut für Angewandte Mathematik Universität Freiburg, Hermann-Herder-Str. 10, 79104 Freiburg i. Br., Germany. email@example.com
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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