Finite element analysis of an A-phi method for time-dependent Maxwell's equations based on explicit-magnetic-field scheme

作者：Ma, Changfeng^*; Wang, Desheng

来源：Applied Mathematics and Computation, 2007, 190(2): 1273-1283.

DOI：10.1016/j.amc.2007.02.008

• time-dependent Maxwell's equations
• a-phi method
• explicit-magnetic-field scheme
• finite element method

In this paper, error analysis of a finite element A-phi method for the time-dependent Maxwell's equations is presented. An explicit-magnetic-field scheme is applied. Provided that the time-stepsize tau is sufficiently small, the proposed algorithm yields for finite time T an error of O(root tau(2) + tau(-1)h(4) + h(2)) in the L-2-norm for the electric field E and the magnetic field H, where h is the mesh size.

• 出版日期2007-7-15
• 单位福建师范大学; 桂林电子科技大学; 南阳理工学院