Alexandre Ern

Convergence of Explicit Runge–Kutta Discontinuous Galerkin Approximations of the First-Order Form of Maxwell’s Equations with Low Regularity Solutions

Abstract. We establish a convergence result for the approximation of low-regularity solutions to time-dependent PDE systems that have an involution structure similar to Maxwell’s equations and the linear wave equations. The approximation is based on an explicit Runge–Kutta (ERK)...