Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the MHD system


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 ∆t ∼ h, we obtain error estimates in L of order O(∆t + h) where m is the degree of the local… (More)