三维麦克斯韦方程的对称分裂时域有限差分方法能量守恒性分析

ENERGY CONSERVATION PROPERTIES OF THE SYMMETRIC SPLITTING FDTD METHODS FOR THE 3D MAXWELL＇S EQUATIONS

考虑三维电导率为零的麦克斯韦方程的对称分裂时域有限差分（SS—FDTD）方法的能量守恒性．通过新的能量方法与差分算子δx，δy，δz，笔者首次给出了数值逼近格式SS—FDTD在离散的H^1模下的能量守恒式，并证明了格式在离散的H^1模下的守恒性．数值算例验证了格式解的能量守恒性．

We study the conservation of energy of the symmetric splitting finite - difference time - domain （SS -FDTD）methods of the 3D Maxwell＇s equations with zero conductivity （ο = 0）. By using new energy methods and difference operator δx, δy ,δz ,we give the conservation of energy for the discrete H^1 -norn of SS -FDTD firstly, and prove that SS - FDTD is conserved. Numerical experiments verify energy conservation of the solution.