Optimal L^(2)Error Estimates for the Interior Penalty DGMethod for Maxwell’s Equations in Cold Plasma

In this paper,we consider an interior penalty discontinuous Galerkin(DG)method for the time-dependent Maxwell’s equations in cold plasma.In Huang and Li(J.Sci.Comput.,42(2009),321–340),for both semi and fully discrete DG schemes,we proved error estimates which are optimal in the energy norm,but sub-optimal in the L^(2)-norm.Here by filling this gap,we show that these schemes are optimally convergent in the L^(2)-norm on quasi-uniform tetrahedral meshes if the solution is sufficiently smooth.