IMPLICIT METHOD FOR SOLVING MAXWELL'S EQUATION.

被引:0
|
作者
Chan, Philemon C. [1 ]
机构
[1] Jaycor, San Diego, CA, USA, Jaycor, San Diego, CA, USA
关键词
MATHEMATICAL TECHNIQUES - Integration;
D O I
暂无
中图分类号
学科分类号
摘要
An unconditionally stable, implicit computational method for solving Maxwell's equations has been developed. A fully implicit solution of the magnetic field is first obtained, and the electric field is then backsolved from the known magnetic-field solution. Test calculations using a Courant number as high as 140 show excellent comparison with known exact solutions. The implicit method overcomes the Courant time-step limitation encountered by the explicit method. It allows computation of the field to be limited by the highest frequency of interest rather than numerical instability, thus lowering computation costs significantly.
引用
收藏
相关论文
共 50 条
  • [31] Exact solving for a class of second order fuzzy equation.
    Boukezzoula, R
    Marteau, S
    FUZZ-IEEE 2005: Proceedings of the IEEE International Conference on Fuzzy Systems: BIGGEST LITTLE CONFERENCE IN THE WORLD, 2005, : 1116 - 1121
  • [32] An improved algebraic multigrid method for solving Maxwell's equations
    Bochev, PB
    Garasi, CJ
    Hu, JJ
    Robinson, AC
    Tuminaro, RS
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2003, 25 (02): : 623 - 642
  • [33] STRATEGIES AND PERFORMANCE EVALUATION OF PARALLEL COMPUTATION IN SOLVING THE LAPLACE EQUATION.
    Takahashi, Yoshizo
    Nobutomo, Yoshihiro
    Kawamura, Toshikazu
    Journal of Information Processing, 1982, 5 (04) : 239 - 246
  • [34] Comments on the Galois's group of an equation.
    Bauer, M
    MATHEMATISCHE ANNALEN, 1937, 114 : 352 - 354
  • [35] On Hormander's solution of the -equation. I
    Hedenmalm, Haakan
    MATHEMATISCHE ZEITSCHRIFT, 2015, 281 (1-2) : 349 - 355
  • [36] The solution of Einstein's orbital equation.
    Sulaiman, SM
    PHILOSOPHICAL MAGAZINE, 1938, 26 (179): : 983 - 987
  • [37] Application of Implicit Scheme with AGE Iterative Method For Solving Fuzzy Parabolic Equation
    Dahalan, A. A.
    Muthuvalu, M. S.
    Aruchunan, E.
    Sulaiman, J.
    Din, W. R. W.
    4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS4): MATHEMATICAL SCIENCES: CHAMPIONING THE WAY IN A PROBLEM BASED AND DATA DRIVEN SOCIETY, 2017, 1830
  • [38] A Matched Alternating Direction Implicit (ADI) Method for Solving the Heat Equation with Interfaces
    Shan Zhao
    Journal of Scientific Computing, 2015, 63 : 118 - 137
  • [39] Semi-Implicit Method for Solving One Dimensional Shallow Water Equation
    Kanafiah, Siti Maryam Hafiza Mohd
    Rusli, Nursalasawati
    INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICOMEIA2016), 2016, 1775
  • [40] A Matched Alternating Direction Implicit (ADI) Method for Solving the Heat Equation with Interfaces
    Zhao, Shan
    JOURNAL OF SCIENTIFIC COMPUTING, 2015, 63 (01) : 118 - 137