Title :
A parallel high precision integration scheme with spectral element method for transient electromagnetic computation
Author :
Huang, Yueqin ; Jiefu Chen ; Zhang, Jianzhong ; Liu, Qing H.
Author_Institution :
Dept. of Electr. Eng., Duke Univ., Durham, NC, USA
Abstract :
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.
Keywords :
Maxwell equations; Runge-Kutta methods; computational electromagnetics; finite element analysis; matrix algebra; Runge-Kutta schemes; matrix exponential; parallel HPI scheme; parallel high precision integration scheme; semidiscretized system; spatial discretization; spectral element method; time domain segmentation; time stepping methods; time-dependent Maxwell equation; transient electromagnetic computation; vector spectral element; Concurrent computing; Current density; Electromagnetic transients; Information science; Magnetic fields; Maxwell equations; Numerical analysis; Performance evaluation; Permeability; Permittivity;
Conference_Titel :
Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4244-7059-4
DOI :
10.1109/CEFC.2010.5481611
