Application of Relaxation-Based Technique to ADI-FDTD Method and Its Estimation

This paper describes the relaxation technique for the alternating direction implicit finite-difference time-domain (ADI-FDTD) method. The ADI-FDTD method is computationally more complicate than the conventional FDTD and this method requires to solve the tri-diagonal matrix equation. Thus, this metho...

Full description

Saved in:
Bibliographic Details
Published in2007 IEEE International Symposium on Circuits and Systems (ISCAS) pp. 1489 - 1492
Main Authors Nakazono, Yuya, Asai, Hideki
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2007
Subjects
Computational efficiency
Computational modeling
Electromagnetic fields
Electromagnetic propagation
Finite difference methods
Large-scale systems
Maxwell equations
Systems engineering and theory
Time domain analysis
Transmission line matrix methods
Online AccessGet full text

Cover

More Information
Summary:This paper describes the relaxation technique for the alternating direction implicit finite-difference time-domain (ADI-FDTD) method. The ADI-FDTD method is computationally more complicate than the conventional FDTD and this method requires to solve the tri-diagonal matrix equation. Thus, this method may require more computational cost than the conventional method due to the large scale tri-diagonal matrix solution corresponding to a large number of meshes. In this paper, relaxation-based solution technique is discussed for the matrix solution and a simple numerical example is shown. As a result, it is confirmed that ADI-FDTD method with the relaxation technique is useful for the electromagnetic field simulation.
ISBN:1424409209
9781424409204
ISSN:0271-4302
2158-1525
DOI:10.1109/ISCAS.2007.378585