Analysis of alternating direction implicit multiresolution time-domain method using Daubechies’ scaling function

Author

Jing, Yang ; Jilong, Ju ; Qia, Sui

Author_Institution

Sch. of Inf. & Eng. Commun., China Univ., Beijing

Volume

2

fYear

2008

fDate

21-24 April 2008

Firstpage

663

Lastpage

665

Abstract

The Maxwell´s equations were extended by the compactly supported wavelets´ transformation in this paper.The renewed formats of them are more succinct than conventional MRTD´s equations.The numerical experiment shows that adopting the method can approach the limitation of the Nyquist´s sampling theorem. The alternating direction implicit technique that is based on the compactly wavelets was used in the method.Based on the formula,compared with the conventional FDTD and ADI-FDTD.The results show that there are non-conditional time stability and excellent numerical dispersion in the method.

Keywords

Maxwell equations; Nyquist stability; finite difference time-domain analysis; wavelet transforms; Daubechies scaling function; FDTD; Maxwell equations; Nyquist sampling theorem; implicit multiresolution time-domain method; nonconditional time stability; numerical dispersion; wavelet transformation; Algorithm design and analysis; Broadcast technology; Broadcasting; Finite difference methods; Maxwell equations; Numerical stability; Physics computing; Space heating; Time domain analysis; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave and Millimeter Wave Technology, 2008. ICMMT 2008. International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-4244-1879-4

Electronic_ISBN

978-1-4244-1880-0

Type

conf

DOI

10.1109/ICMMT.2008.4540482

Filename

4540482