A Further Study on the Use of the Alternating-Direction Implicit Scheme for the Finite-Element Time-Domain Method

作者：Du, Lei^*; Chen, Ru Shan; Ye, Zhen Bao; Yang, Yang

来源：IEEE Antennas and Wireless Propagation Letters, 2009, 8: 775-778.

DOI：10.1109/LAWP.2009.2027342

• Alternating-direction implicit (ADI) scheme
• Crank-Nicolson (CN) scheme
• finite-element time-domain (FETD) method

In this letter, a further study for the alternating-direction implicit (ADI) scheme used in the mixed E and B finite-element time-domain (FETD) method is performed. Based on a direct discretization of the first-order coupled Maxwell curl equations and employed Whitney form basis functions to expand the electric field and the magnetic field, an efficient algorithm for implementing ADI scheme in FETD method is presented. Compared to the Crank-Nicolson (CN) scheme used in the FETD method, theoretical analysis and numerical results demonstrate that the ADI-FETD method has no splitting error, the accuracy of the two methods is the same, and the ADI-FETD method is exactly a two-step scheme for CN-FETD method.

• 出版日期2009
• 单位南京航空航天大学; 南京理工大学