A mathematical analysis of the resonance of the finite thin slots

M. Clausel; M. Duruflé; P. Joly; S. Tordeux

doi:10.1016/j.apnum.2006.03.023

A mathematical analysis of the resonance of the finite thin slots

M. Clausel, M. Duruflé, P. Joly, S. Tordeux

Research output: Contribution to journal › Article › peer-review

Abstract

In this article we discuss the asymptotic behaviour of the solution of a wave propagation problem in a domain including a thin slot. Several convergence rates are obtained and illustrated by numerical examples.

Original language	English
Pages (from-to)	1432-1449
Number of pages	18
Journal	Applied Numerical Mathematics
Volume	56
Issue number	10-11 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.apnum.2006.03.023
Publication status	Published - 1 Oct 2006

Keywords

Helmholtz
Resonance
Slit
Thin slot
Wave equation

Access to Document

10.1016/j.apnum.2006.03.023

Cite this

@article{870cc62e1f9d4d8b9503c104eca8859b,

title = "A mathematical analysis of the resonance of the finite thin slots",

abstract = "In this article we discuss the asymptotic behaviour of the solution of a wave propagation problem in a domain including a thin slot. Several convergence rates are obtained and illustrated by numerical examples.",

keywords = "Helmholtz, Resonance, Slit, Thin slot, Wave equation",

author = "M. Clausel and M. Durufl{\'e} and P. Joly and S. Tordeux",

year = "2006",

month = oct,

day = "1",

doi = "10.1016/j.apnum.2006.03.023",

language = "English",

volume = "56",

pages = "1432--1449",

journal = "Applied Numerical Mathematics",

issn = "0168-9274",

number = "10-11 SPEC. ISS.",

}

TY - JOUR

T1 - A mathematical analysis of the resonance of the finite thin slots

AU - Clausel, M.

AU - Duruflé, M.

AU - Joly, P.

AU - Tordeux, S.

PY - 2006/10/1

Y1 - 2006/10/1

N2 - In this article we discuss the asymptotic behaviour of the solution of a wave propagation problem in a domain including a thin slot. Several convergence rates are obtained and illustrated by numerical examples.

AB - In this article we discuss the asymptotic behaviour of the solution of a wave propagation problem in a domain including a thin slot. Several convergence rates are obtained and illustrated by numerical examples.

KW - Helmholtz

KW - Resonance

KW - Slit

KW - Thin slot

KW - Wave equation

U2 - 10.1016/j.apnum.2006.03.023

DO - 10.1016/j.apnum.2006.03.023

M3 - Article

AN - SCOPUS:33746129998

SN - 0168-9274

VL - 56

SP - 1432

EP - 1449

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 10-11 SPEC. ISS.

ER -

A mathematical analysis of the resonance of the finite thin slots

Abstract

Keywords

Access to Document

Fingerprint

Cite this