Stability and convergence analysis for the domain decomposition finite element/finite difference (FE/FD) method is presented. The analysis is designed for semi-discrete finite element scheme for the time-dependent Maxwell's equations. The explicit finite element schemes in different settings of the spatial domain are constructed and domain decomposition algorithm is formulated. Several numerical examples validate convergence rates obtained in the theoretical studies.

翻译：介绍了对域分解有限元素/无限差异(FE/FD)方法的稳定性和趋同性分析,该分析是针对基于时间的马克斯韦尔方程式的半分辨有限元素办法设计的,在空间领域不同环境中建立明确的有限元素办法,并制定了域分解算法,若干数字例子证实理论研究获得的趋同率。