Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity

摘要

We design and analyze the interior penalty discontinuous Galerkin discretization of the magnetic induction equation with resistivity. The resulting semi-discrete scheme is shown to be energy stable and consistent. Numerical experiments are performed in order to demonstrate the accuracy and convergence of the DG scheme through the L2-error and divergence error analysis by incorporating several time discretization schemes.