Abstract
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 L 2 of order where m is the degree of the local polynomials.
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More From: ESAIM: Mathematical Modelling and Numerical Analysis
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