APPROXIMATE MODELS FOR THE MAXWELL EQUATIONS

被引:14
作者
RAVIART, PA
SONNENDRUCKER, E
机构
[1] ECOLE POLYTECH,CAMP,F-91128 PALAISEAU,FRANCE
[2] CTR ETUD LIMEIL VALENTON,CEA,F-94195 VILLENEUVE ST GEO,FRANCE
关键词
MAXWELL EQUATIONS; QUASI-STATIC MODEL; DARWIN MODEL; ASYMPTOTIC ANALYSIS;
D O I
10.1016/0377-0427(95)00058-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the quasistatic and Darwin models of approximation of the time-dependent Maxwell equations. Starting from initial and boundary conditions for the Maxwell equations, we present a fairly general method of derivation of the corresponding initial and boundary conditions for the approximate models. This derivation is based on an asymptotic analysis.
引用
收藏
页码:69 / 81
页数:13
相关论文
共 8 条
[1]   ON A FINITE-ELEMENT METHOD FOR SOLVING THE 3-DIMENSIONAL MAXWELL EQUATIONS [J].
ASSOUS, F ;
DEGOND, P ;
HEINTZE, E ;
RAVIART, PA ;
SEGRE, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 109 (02) :222-237
[2]  
BOSSAVIT A, 1993, JAN ISEM SAPP C
[3]   AN ANALYSIS OF THE DARWIN MODEL OF APPROXIMATION TO MAXWELL EQUATIONS [J].
DEGOND, P ;
RAVIART, PA .
FORUM MATHEMATICUM, 1992, 4 (01) :13-44
[4]  
HEWETT DW, 1986, J COMPUT PHYS, V70, P166
[5]  
PARROT C, 1992, THESIS U P M CURIE P
[6]  
RAVIART PA, IN PRESS NUMER MATH
[7]  
RAVIART PA, 1993, GDR6 EC POL TECHN RE
[8]  
SONNENDRUCKER E, UNPUB J COMPUT PHYS