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. email@example.com
2 Institut für Angewandte Mathematik Universität Freiburg, Hermann-Herder-Str. 10, 79104 Freiburg i. Br., Germany. firstname.lastname@example.org
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.