3维Maxwell方程局部1维多辛格式的能量恒等式

The Energy Identities of the Local One-Dimensional Multisymplectic Scheme for 3-D Maxwell's Equation

在理想导体边界条件下,对3维Maxwell方程的局部1维多辛Preissman格式的能量守恒性质进行研究.运用能量分析法推导了2个能量恒等式,这些恒等式说明了给出的格式在所定义的离散范数下是能量守恒和无条件稳定的,数值算例验证了结论的正确性.

The energy conservation properties of the local one-dimensional multisymplectic（ LOD-MS） Preissman scheme is mainly concerned,which is a scheme for solving the 3-dimensional Maxwell＇s equation under the perfectly electric conducting（ PEC） boundary condition. Energy analysis method is applied to obtain two energy conservation identities which suggest that the LOD-MS Preissman scheme is unconditionally stable under the new discrete modified energy norms. Experimental results show the correctness of this conclusion.