A Three-Dimensional Locally One-Dimensional Multiresolution Time-Domain Method Using Daubechies Scaling Function

Ryu, Jae-Jong; Lee, Wu-Seong; Kim, Ha-Chul; Choi, Hyun-Chul

doi:2009.9.4.211

J. Electromagn. Eng. Sci > Volume 9(4); 2009 > Article

Journal of the Korean Institute of Electromagnetic and Science 2009;9(4):211-217.
DOI: https://doi.org/10.5515/JKIEES.2009.9.4.211

A Three-Dimensional Locally One-Dimensional Multiresolution Time-Domain Method Using Daubechies Scaling Function

Jae-Jong Ryu¹, Wu-Seong Lee¹, Ha-Chul Kim², Hyun-Chul Choi¹

¹School of Electrical Engineering and Computer Science, Kyungpook National University
²Department of Information and Communication Engineering, Korea Naval Academy

Abstract

A three-dimensional locally one-dimensional multiresolution time-domain(LOD-MRTD) method is introduced and unconditional stability is proved analytically. The updating formulations have fewer terms on the right-hand side than those of an alternating direction implicit MRTD(ADI-MRTD). The validation of the method is presented using the resonance frequency problem of an empty cavity. The reduction of the numerical dispersion technique is also combined with the proposed method. The numerical examples show that the combined method can improve the accuracy significantly.

Key words: Locally One-Dimensional Multiresolution Time-Domain(LOD-MRTD), Alternating Direction Implicit Multiresolution Time-Domain(ADI-MRTD), Numerical Dispersion, Artificial Anisotropy