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

下载

页码：63 / 97

页数：35

共 50 条

[21] A UNIFIED ANALYSIS OF TRANSMISSION CONDITIONS FOR THIN CONDUCTING SHEETS IN THE TIME-HARMONIC EDDY CURRENT MODEL
Schmidt, K.
Chernov, A.
SIAM JOURNAL ON APPLIED MATHEMATICS, 2013, 73 (06) : 1980 - 2003
[22] Asymptotic distribution of estimates for a time-varying parameter in a harmonic model with multiple fundamentals
Irizarry, RA
STATISTICA SINICA, 2000, 10 (04) : 1041 - 1067
[23] Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves
Chaillat, Stephanie
Darbas, Marion
Le Louer, Frederique
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 297 : 62 - 83
[24] Time Domain Analysis of Waves in Layered Lossy Dispersive Media
Chen, Penghui
Xu, Xiaojian
Zeng, Qingsheng
Yagoub, Mustapha C. E.
2012 ASIA-PACIFIC INTERNATIONAL SYMPOSIUM ON ELECTROMAGNETIC COMPATIBILITY (APEMC), 2012, : 885 - 888
[25] An asymptotic averaged model of non-linear long waves propagation in media with a regular structure
Vakhnenko, VO
Danylenko, VA
Michtchenko, AV
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) : 643 - 654
[26] ANALYSIS OF TIME-HARMONIC MAXWELL IMPEDANCE PROBLEMS IN ANISOTROPIC MEDIA
Chicaud, Damien
Ciarlet, Patrick
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 55 (03) : 1969 - 2000
[27] A constitutive model for the analysis of second harmonic Lamb waves in unidirectional composites
Rauter, Natalie
Lammering, Rolf
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2018, 135 : 184 - 196
[28] Modeling of the interaction of time-harmonic SH waves with a thin-walled plane inclusion
Emets, V
Rogowski, J
MODERN PROBLEMS OF RADIO ENGINEERING, TELECOMMUNICATIONS AND COMPUTER SCIENCE, PROCEEDINGS, 2004, : 150 - 153
[29] Analysis of superconducting thin film using an approximate model of the current distribution
Elkordy, M
Taha, TE
Gomaa, A
ICECS 2001: 8TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS I-III, CONFERENCE PROCEEDINGS, 2001, : 1441 - 1444
[30] Scattering and radiation of waves by a thin toroidal tube with semi-transparent walls: an asymptotic model
Lyalinov, M. A.
Polyanskaya, S. V.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (33)

← 1 2 3 4 5 →