Analysis of the energy-conserved S-FDTD scheme for variable coefficient Maxwell's equations in disk domains

作者：Li, Wanshan^*; Liang, Dong

来源：Mathematical Methods in the Applied Sciences, 2016, 39(7): 1689-1704.

DOI：10.1002/mma.3596

• energy conservation
• variable coefficient Maxwell's equations
• disk domain

In this paper, we analyze the energy-conserved splitting finite-difference time-domain (FDTD) scheme for variable coefficient Maxwell's equations in two-dimensional disk domains. The approach is energy-conserved, unconditionally stable, and effective. We strictly prove that the EC-S-FDTD scheme for the variable coefficient Maxwell's equations in disk domains is of second order accuracy both in time and space. It is also strictly proved that the scheme is energy-conserved, and the discrete divergence-free is of second order convergence. Numerical experiments confirm the theoretical results, and practical test is simulated as well to demonstrate the efficiency of the proposed EC-S-FDTD scheme.

• 出版日期2016-5
• 单位山东大学