Trigonometric Polynomial Expansion and Multilevel Fast Multipole Algorithm

被引：0
作者：
Jarvenpaa, Seppo [1 ]
机构：
[1] Aalto Univ, Dept Radio Sci & Engn, Espoo, Finland
来源：
2016 URSI INTERNATIONAL SYMPOSIUM ON ELECTROMAGNETIC THEORY (EMTS) | 2016年
关键词：
ELECTROMAGNETIC SCATTERING; UNKNOWNS;
D O I：
暂无
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：
The components of the radiation patterns can be spanned with trigonometric polynomials in Multilevel Fast Multi-pole Algorithm (MLFMA) allowing development of simple global interpolators with exceptional accuracy control. In this article the basic properties of these functions are studied in one variable case. It is shown how the orthogonality of the basis functions can be utilized to develop simple operations suitable for creating fast and accurate MLFMA implementations.
引用
收藏
页码：276 / 279
页数：4
相关论文
共 50 条
  • [11] Analysis and performance of a distributed memory multilevel fast multipole algorithm
    Velamparambil, S
    Chew, WC
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2005, 53 (08) : 2719 - 2727
  • [12] Solutions of plasmonic structures using the multilevel fast multipole algorithm
    Karaosmanoglu, Bariscan
    Yilmaz, Akif
    Gur, Ugur Meric
    Ergul, Ozgur
    INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING, 2016, 26 (04) : 335 - 341
  • [13] Modified Multilevel Fast Multipole Algorithm for Stationary Iterative Solvers
    Pham-Xuan, Vinh
    Condon, Marissa
    Brennan, Conor
    IEEE ACCESS, 2015, 3 : 774 - 786
  • [14] Preconditioning Technique in the Interpolative Decomposition Multilevel Fast Multipole Algorithm
    Pan, Xiao-Min
    Sheng, Xin-Qing
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2013, 61 (06) : 3373 - 3377
  • [15] Analysis of Lossy Dielectric Objects with the Multilevel Fast Multipole Algorithm
    Erguel, Oezguer
    Gurel, Levent
    2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI), 2011, : 183 - 186
  • [16] A Fast Algorithm for Volume Integral Equation Using Interpolative Decomposition and Multilevel Fast Multipole Algorithm
    Liu, Yan-Nan
    Pan, Xiao-Min
    Sheng, Xin-Qing
    PROCEEDINGS OF THE 2016 11TH INTERNATIONAL SYMPOSIUM ON ANTENNAS, PROPAGATION AND EM THEORY (ISAPE), 2016, : 519 - 522
  • [17] Parallelization of the Multilevel Fast Multipole Algorithm by Combined Use of OpenMP and VALU Hardware Acceleration
    Liu, Jinbo
    He, Mang
    Zhang, Kang
    Wang, Binbin
    Qiu, Qingwei
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2014, 62 (07) : 3884 - 3889
  • [18] Incomplete LU preconditioning with the multilevel fast multipole algorithm for electromagnetic scattering
    Malas, Tahir
    Guerel, Levent
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 29 (04) : 1476 - 1494
  • [19] ITERATIVE NEAR-FIELD PRECONDITIONER FOR THE MULTILEVEL FAST MULTIPOLE ALGORITHM
    Gurel, Levent
    Malas, Tahir
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 32 (04) : 1929 - 1949
  • [20] Multiscale electromagnetic computations using a hierarchical multilevel fast multipole algorithm
    Wei, Jian-Gong
    Peng, Zhen
    Lee, Jin-Fa
    RADIO SCIENCE, 2014, 49 (11) : 1022 - 1040
12345