Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots

被引:23
作者
Joly, P [1 ]
Tordeux, S
机构
[1] CNRS, INRIA, UMR POEMS, F-75700 Paris, France
[2] ETHZ, Seminar Angew Math, Zurich, Switzerland
来源
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2006年 / 40卷 / 01期
关键词
slit; slot; wave equation; Helmholtz equation; approximate model;
D O I
10.1051/m2an:2006008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we derive a complete mathematical analysis of a coupled 1D-2D model for 2D wave propagation in media including thin slots. Our error estimates are illustrated by numerical results.
引用
收藏
页码:63 / 97
页数:35
相关论文
共 42 条
[1]  
ABBOUD T, 1995, LECT NOTES PURE APPL, V167, P1
[2]  
[Anonymous], 1985, ANAL MATH CALCUL NUM
[3]  
[Anonymous], 1980, LECT NOTES PHYS
[4]  
ARTOLA M, 1991, CR ACAD SCI I-MATH, V313, P231
[5]   Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains:: The Singular Complement Method [J].
Assous, F ;
Ciarlet, P ;
Segré, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 161 (01) :218-249
[6]   SCATTERING FREQUENCIES OF RESONATORS [J].
BEALE, JT .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1973, 26 (04) :549-563
[7]   The effect of a thin coating on the scattering of a time-harmonic wave for the helmholtz equation [J].
Bendali, A ;
Lemrabet, K .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1996, 56 (06) :1664-1693
[8]  
BENSOUSSAN A, 1978, STUD MATH APPL, V5
[9]   The electric field integral equation on Lipschitz screens: definitions and numerical approximation [J].
Buffa, A ;
Christiansen, SH .
NUMERISCHE MATHEMATIK, 2003, 94 (02) :229-267
[10]  
BUTLER C, 1980, IEEE T ANT PROPAG, V28