Diffraction at a curved grating: TM and TE cases, homogenization

被引：47

作者：

Abboud, T

Ammari, H

机构：

[1] Ctr. de Mathematiques Appliquees, CNRS URA 756, École Polytechnique

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 202卷 / 03期

关键词：

D O I：

10.1006/jmaa.1996.0357

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A hierarchy of effective boundary conditions is derived for a Helmholtz equation with Dirichlet or Neumann boundary conditions. These generalized impedance boundary conditions approximate the effect of thin dielectric layers with perfectly conducting inclusions covering an object. Well-posedness of the problems with these new boundary conditions is proved and optimal error estimates are given. (C) 1996 Academic Press, Inc.

引用

页码：995 / 1026

页数：32

共 21 条

[1]

ABBOUD T, 1995, CR ACAD SCI I-MATH, V320, P113

[2]

ABBOUD T, 1995, CR ACAD SCI I-MATH, V320, P301

[3]

ACHDOU Y, 1992, CR ACAD SCI I-MATH, V314, P217

[4]

Achdou Y., 1994, EFFECTIVE BOUNDARY C

[5]

ALBER HD, 1979, P ROY SOC EDINBURG A, V82

[6]

ANGEL TS, 1990, SIAM J APPL MATH, V6, P1607

[7]

ARTOLA M, 1991, CR ACAD SCI I-MATH, V313, P231

[8]

BENDALI A, 1996, IN PRESS SIAM J APPL

[9]

Bensoussan A., 1978, ASYMPTOTIC ANAL PERI

[10] MAXWELL EQUATIONS IN A PERIODIC STRUCTURE [J].

CHEN, XF ;

FRIEDMAN, A .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 323 (02) :465-507

← 1 2 3 →