An improved error estimate for Maxwell’s equations with a power-law nonlinear conductivity

In this work we investigate a fully discrete finite element method for Maxwell’s equations with a power-law nonlinear conductivity and prove an improved error estimate with O(τ+hmin{1,α})O(τ+hmin{1,α}) (α>0α>0) for both time and space discretization, which is a more accurate approximation than the suboptimal order estimate in [1].