Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium
The authors study stability and convergence of the finite difference time domain (FDTD) method for the 2D Maxwell equations in a lossy medium with perfectly electric conducting boundary conditions. They develop a new energy method to establish stability and optimal second-order error estimates in space and time in the discrete \(H^1\) norm for FDTD and its time difference scheme. Some numerical experiments consistent with the theoretical convergence results are also presented.
perfectly electric conducting boundary conditions
scientific article; zbMATH DE number 6132166
scientific article