Fast Multipole Method Applied to Volume Integral Equation Method

被引:5
|
作者
Hafla, W. [1 ]
Buchau, A. [1 ]
Groh, E. [1 ]
Rucker, W. M. [1 ]
机构
[1] Univ Stuttgart, Inst Theory Elect Engn, Pfaffenwaldring 47, D-70569 Stuttgart, Germany
关键词
D O I
10.5194/ars-3-195-2005
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 Volume Integral Equation Method (VIEM) has been used for the solution of three-dimensional nonlinear magnetostatic field problems. The number of unknowns is minimal as only the magnetic material has to be discretized. For accurate solutions of problems where the magnetic field is small compared to the excitation field a difference field formulation has been developed. To reduce computational costs the fast multipole method is applied both on compression of the system matrix and during post processing. The efficiency of the formulation is demonstrated in several examples.
引用
收藏
页码:195 / 198
页数:4
相关论文
共 50 条
  • [1] A far-field approximation for the fast-multipole method applied to the combined field integral equation
    McCowen, A
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 2003, 39 (03) : 1254 - 1256
  • [2] Fast multipole integral equation method for VLSI interconnect inductance calculation
    Wang, Xiaoli
    Luo, Xianjue
    [J]. 2008 CANADIAN CONFERENCE ON ELECTRICAL AND COMPUTER ENGINEERING, VOLS 1-4, 2008, : 1800 - 1803
  • [3] Preconditioning of Periodic Fast Multipole Method for Solving Volume Integral Equations
    Misawa, Ryota
    Nishimura, Naoshi
    Tong, Mei Song
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2014, 62 (09) : 4799 - 4804
  • [4] Ships Magnetic Anomaly Computation With Integral Equation and Fast Multipole Method
    Nguyen, T. -S.
    Guichon, J. -M.
    Chadebec, O.
    Labie, P.
    Coulomb, J. -L.
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 2011, 47 (05) : 1414 - 1417
  • [5] On Diagonal Form Fast Multipole Method for an Oscillatory Boundary Integral Equation
    Wu, Qinghua
    [J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 11 (05) : 1248 - 1262
  • [6] Parallelisation of Fast Multipole Boundary Integral Equation Method for SMP computer
    Munakata, H
    Otani, Y
    Nishimura, N
    [J]. Computational Mechanics, Proceedings, 2004, : 506 - 510
  • [7] The Parallel Algorithm of Fast Multipole Expansion Method for Electric Field Integral Equation
    He, Jiayu
    Chen, Feiran
    Yu, Xinglu
    Cheng, Taige
    Xiao, Jinxin
    Luo, Jianshu
    [J]. 2016 PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM (PIERS), 2016, : 4182 - 4182
  • [8] A fast multipole boundary element method for a modified hypersingular boundary integral equation
    Of, G
    Steinbach, O
    [J]. ANALYSIS AND SIMULATION OF MULTIFIELD PROBLEMS, 2003, 12 : 163 - 169
  • [9] Fast multipole method for solving the radiosity equation
    Morice, J.
    Mer-Nkonga, K.
    Bachelot, A.
    [J]. NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, 2006, : 609 - +
  • [10] Skeletonization Accelerated Multilevel Fast Multipole Algorithm for Volume Integral Equation
    Liu, Yan-Nan
    Pan, Xiao-Min
    Sheng, Xin-Qing
    [J]. 2017 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING, 2017, : 729 - 730