A Low Dispersion Precise Integration Time Domain Method Based on Wavelet Galerkin Scheme

被引:11
|
作者
Sun, Gang [1 ]
Ma, Xikui [1 ]
Bai, Zhongming
机构
[1] Xi An Jiao Tong Univ, Sch Elect Engn, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Dispersion; Moment methods; Time domain analysis; Microstrip antennas; Finite difference methods; Numerical stability; wavelet Galerkin scheme; Daubechies scaling functions; precise integration time domain (PITD) method; STABILITY;
D O I
10.1109/LMWC.2010.2079920
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
To decrease the dispersion error of the precise integration time domain (PITD) method, a new algorithm named the wavelet Galerkin scheme-based PITD (WG-PITD) method is proposed in this letter. The novel method is based on both the wavelet Galerkin scheme and the precise integration technique. The dispersion relation of the WG-PITD method is derived analytically. It is found that the dispersion error of the WG-PITD method is smaller than that of the PITD method, and can be made nearly independent of the time step size. The numerical results confirm the advantages of the WG-PITD method over the PITD method with respect to the memory requirements and the execution time.
引用
收藏
页码:651 / 653
页数:3
相关论文
共 50 条
  • [1] Stability Condition and Numerical Dispersion of Wavelet Galerkin Scheme-Based Precise Integration Time Domain Method
    Sun, Gang
    Ma, Xikui
    Bai, Zhongming
    ASIA-PACIFIC MICROWAVE CONFERENCE 2011, 2011, : 74 - 77
  • [2] A Low-Memory-Requirement Realization of Precise Integration Time Domain Method Using a Leapfrog Scheme
    Sun, Gang
    Ma, Xikui
    Bai, Zhongming
    IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2012, 22 (06) : 294 - 296
  • [3] A Low-Dispersion Realization of Precise Integration Time-Domain Method Using a Fourth-Order Accurate Finite Difference Scheme
    Bai, Zhong-Ming
    Ma, Xi-Kui
    Sun, Gang
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2011, 59 (04) : 1311 - 1320
  • [4] A split-step-scheme-based precise integration time domain method for solving wave equation
    Liu, Qi
    Ma, Xikui
    Bai, Zhongming
    Zhuansun, Xu
    COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2014, 33 (1-2) : 85 - 94
  • [5] Dispersion of time domain wavelet Galerkin method based on Daubechies' compactly supported scaling functions with three and four vanishing moments
    Fujii, M
    Hoefer, WJR
    IEEE MICROWAVE AND GUIDED WAVE LETTERS, 2000, 10 (04): : 125 - 127
  • [6] Numerical dispersion characteristics of the three-dimensional precise integration time-domain method
    Chen, Zhizhang
    Jiang, Lele
    Mao, Junfa
    2007 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM DIGEST, VOLS 1-6, 2007, : 1962 - +
  • [7] Impulsive load identification in time domain based on precise time-integration method
    Chen, H.-B., 2013, Chinese Vibration Engineering Society (32):
  • [8] A fast dynamically adaptive wavelet collocation method based on the precise time-integration
    Zhang, Wen-Hua
    Yu, Bo
    Kung Cheng Je Wu Li Hsueh Pao/Journal of Engineering Thermophysics, 2015, 36 (12): : 2694 - 2698
  • [9] A Krylov-Subspace-Based Exponential Time Integration Scheme for Discontinuous Galerkin Time-Domain Methods
    Wang, Jiawei
    Chen, Feng
    Ma, Xikui
    Shao, Jinghui
    Kang, Zhen
    Yin, Shuli
    Liu, Qing Huo
    IEEE TRANSACTIONS ON MAGNETICS, 2019, 55 (06)
  • [10] Discontinuous Galerkin Time-Domain Method Based on Marching-on-in-Degree Scheme
    Shi, Yan
    Tian, Chang-Yi
    Liang, Chang-Hong
    IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, 2017, 16 : 250 - 253