Minimum-order regular boundary integral equations for three-dimensional eddy-current problem

被引:3
作者
Homentcovschi, D [1 ]
机构
[1] Romanian Acad, Inst Stat Math & Appl Math, Bucharest 1, Romania
[2] SUNY Binghamton, Binghamton, NY 13902 USA
关键词
boundary element methods; eddy currents; Fredholm integral equations;
D O I
10.1109/TMAG.2002.802947
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
This paper provides regular boundary integral equations for determining the electromagnetic field for the three-dimensional eddy-current problem. The Mayergoyz approach enables us to split the problem into a magnetic problem and an electric problem, which are solved in succession. The magnetic problem leads to a set of one vector and one scalar regular integral equations (three scalar unknown functions), while the electric problem is reduced to a scalar regular integral equation (a scalar unknown function). In both cases, existence theorems for the solutions are proven.
引用
收藏
页码:3433 / 3438
页数:6
相关论文
共 18 条
[1]  
[Anonymous], COMPUTATIONAL ELECTR
[2]   THE SOLUTION OF 3-DIMENSIONAL INDUCTION-HEATING PROBLEMS USING AN INTEGRAL-EQUATION METHOD [J].
HODGKINS, WR ;
WADDINGTON, JF .
IEEE TRANSACTIONS ON MAGNETICS, 1982, 18 (02) :476-480
[3]   An introduction to BEM by integral transforms [J].
Homentcovschi, D ;
Singler, T .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1999, 23 (07) :603-609
[4]   A LEAST RESIDUAL APPROACH FOR 3-D EDDY-CURRENT ANALYSIS BY BEM [J].
ISHIBASHI, K .
IEEE TRANSACTIONS ON MAGNETICS, 1993, 29 (02) :1512-1515
[5]   SINGULARITY EVALUATION IN BOUNDARY INTEGRAL-EQUATIONS OF MINIMUM ORDER FOR 3-D EDDY CURRENTS [J].
KALAICHELVAN, S ;
LAVERS, JD .
IEEE TRANSACTIONS ON MAGNETICS, 1987, 23 (05) :3053-3055
[6]  
KALAICHELVAN S, 1989, TOPICS BOUNDARY ELEM, V6, P79
[7]  
LYAPUNOV AM, 1949, WORK POTENTIAL THEOR, P70
[8]  
MAYERGOYZ I, 1998, NONLINEAR DIFFUSION