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

Author

Du, Lei ; Chen, Ru Shan ; Ye, Zhen Bao ; Yang, Yang

Author_Institution

Dept. of Commun. Eng., Nanjing Univ. of Sci. & Technol., Nanjing, China

Volume

8

fYear

2009

fDate

7/1/1905 12:00:00 AM

Firstpage

775

Lastpage

778

Abstract

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 CrankNicolson (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.

Keywords

Maxwell equations; electromagnetic fields; finite element analysis; time-domain analysis; alternating-direction implicit scheme; direct discretization; electric fields; finite-element time-domain method; first-order coupled Maxwell curl equations; magnetic fields; mixed E-and B FETD method; splitting error; time-dependent electromagnetic field; Alternating-direction implicit (ADI) scheme; Crank–Nicolson (CN) scheme; finite-element time-domain (FETD) method;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2009.2027342

Filename

5164950