A parallel high precision integration scheme with spectral element method for transient electromagnetic computation

Summary form of only given: A parallel high precision integration (HPI) scheme combined with the spectral element method (SEM) is presented to solve the time-dependent Maxwell's equations. The vector spectral elements are employed for spatial discretization, and a parallel HPI scheme based on matrix exponential and time domain segmentation is proposed for solving the semi-discretized system by SEM. The parallel HPI is unconditionally stable and very suitable for long time simulation. Numerical examples demonstrate that the proposed method can achieve accuracy several orders higher than that of conventional time stepping methods such as the Runge-Kutta schemes.