Development of the Three-Dimensional Unconditionally Stable LOD-FDTD Method

Author

Ahmed, Iftikhar ; Chua, Eng-Kee ; Li, Er-Ping ; Chen, Zhizhang

Author_Institution

Electromagn. Syst. Dept., Inst. of High Performance Comput., Singapore

Volume

56

Issue

11

fYear

2008

Firstpage

3596

Lastpage

3600

Abstract

A three-dimensional unconditionally-stable locally-one-dimensional finite-difference time-domain (LOD-FDTD) method is proposed and is proved unconditionally stable analytically. In it, the number of equations to be computed is the same as that with the conventional three-dimensional alternating direction implicit FDTD (ADI-FDTD) but with reduced arithmetic operations. The reduction in arithmetic operations leads to approximately 20% less computational time in comparisons with the ADI-FDTD method.

Keywords

finite difference time-domain analysis; numerical stability; alternating direction implicit finite-difference time-domain; arithmetic operation reduction; locally-one-dimensional finite-difference time-domain method; Arithmetic; Computer errors; Electromagnetics; Finite difference methods; High performance computing; Iterative methods; Maxwell equations; Perfectly matched layers; Stability analysis; Time domain analysis; Alternating direction implicit finite-difference time-domain (ADI-FDTD); Courant Friedrich Levy (CFL) limit; FDTD; locally-one-dimensional finite-difference time-domain (LOD-FDTD); unconditionally stable;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2008.2005544

Filename

4685909