摘要
In this paper,a new symmetric energy-conserved splitting FDTD scheme(symmetric EC-S-FDTD)for Maxwell’s equations is proposed.The new algorithm inherits the same properties of our previous EC-S-FDTDI and EC-S-FDTDII algorithms:energy-conservation,unconditional stability and computational efficiency.It keeps the same computational complexity as the EC-S-FDTDI scheme and is of second-order accuracy in both time and space as the EC-S-FDTDII scheme.The convergence and error estimate of the symmetric EC-S-FDTD scheme are proved rigorously by the energy method and are confirmed by numerical experiments.
基金
W.Chen was supported by the National Basic Research Program under grant number 2005CB321701 and 111 project grant(B08018)
His research was also partially supported by’Ministero degli Affari Esteri-Direzione Generale per la Promozione e la Cooperazione Culturale’and by Istituto Nazionale di Alta Matematica’Francesco Severi’-Roma
X.Li was partially supported by National Talents Training Base for Basic Research and Teaching of Natural Science of China(J0730103)
the Natural Science Foundation of China(60771054).
