Element-free Galerkin method for electromagnetic field computations

被引：97
|
作者：
Clingoski, V [1 ]
Miyamoto, N [1 ]
Yamashita, H [1 ]
机构：
[1] Hiroshima Univ, Fac Engn, Higashihiroshima 739, Japan
来源：
IEEE TRANSACTIONS ON MAGNETICS | 1998年 / 34卷 / 05期
关键词：
element-free Galerkin methods; least squares methods; finite element methods; electrostatic analysis; voltage transformers;
D O I：
10.1109/20.717759
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：
Although numerically very efficient the finite element method exhibits difficulties whenever the remeshing of the analysis domain must be performed. For such problems utilizing meshless computation methods is very promising. In this paper, a kind of meshless method called the element-free Galerkin method is introduced for electromagnetic field computation. The mathematical background for the moving least square approximation employed in the method is given, and the numerical implementation is briefly discussed. Application of the proposed method for electromagnetic field computation and verification of the obtained results using theoretically known solution is also presented.
引用
收藏
页码：3236 / 3239
页数：4
相关论文
共 50 条
  • [1] Hybrid element-free Galerkin - Finite element method for electromagnetic field computations
    Cingoski, V
    Miyamoto, N
    Yamashita, H
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 2000, 36 (04) : 1543 - 1547
  • [2] Improvement of the element-free Galerkin method for electromagnetic field calculation
    Liu, SZ
    Yang, QX
    Chen, HY
    Xu, GZ
    Liu, FG
    [J]. IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2004, 14 (02) : 1866 - 1869
  • [3] The study of the Element-Free Galerkin Method for electromagnetic field analyse
    Liu, SZ
    Yang, QX
    Chen, HY
    Liu, FG
    Yan, WL
    [J]. ICEMS 2003: PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON ELECTRICAL MACHINES AND SYSTEMS, VOLS 1 AND 2, 2003, : 782 - 785
  • [4] Element-free Galerkin method in electromagnetic scattering field computation
    Liu, X.
    Wang, B. -Z.
    Lai, S.
    [J]. JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2007, 21 (14) : 1915 - 1923
  • [5] Element-free Galerkin method for transient electromagnetic field simulation
    Liu, Xiaofei
    Wang, Bing-Zhong
    Lai, Shengjian
    [J]. MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2008, 50 (01) : 134 - 138
  • [6] The element free galerkin method applied to electromagnetic field computations
    Ma, W
    Ni, PH
    [J]. APPLIED ELECTROMAGNETICS (III), 2001, 10 : 271 - 274
  • [7] Analysis of harmonic electromagnetic field using element-free Galerkin method
    Yang, E. H.
    Wang, S. G.
    Mo, J. Q.
    Liang, Q. H.
    Xu, W.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2011, 27 (06) : 848 - 859
  • [8] Implementation of an efficient element-free Galerkin method for electromagnetic computation
    Louai, F. Z.
    Nait-Said, N.
    Drid, S.
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2007, 31 (03) : 191 - 199
  • [9] Element-free Galerkin method for static and quasi-static electromagnetic field computation
    Xuan, L
    Zeng, ZW
    Shanker, B
    Udpa, L
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 2004, 40 (01) : 12 - 20
  • [10] Modification of the weak form to enforce electromagnetic field interface conditions in element-free Galerkin method
    Yang, Enhui
    Mo, Jinqiu
    Liu, Handan
    Xu, Wei
    Wang, Shigang
    [J]. INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2009, 31 (03) : 127 - 145
12345