Acoustic scattering from open cavities in the time domain

B. O. Chen; Fuming Ma; Yukun Guo

Acoustic scattering from open cavities in the time domain

B. O. Chen
, Fuming Ma
, Yukun Guo

Civil Aviation University of China
Jilin University
School of Mathematics, Harbin Institute of Technology

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

2 Scopus citations

Abstract

This article concerns acoustic scattering from two-dimensional open cavities in the time domain. A transparent boundary condition is provided to reformulate the problem as an equivalent initial boundary value problem in the interior region of the open cavity. The well-posedness, that is, the existence, uniqueness and stability of the solution to the reduced problem, is proved via a “Laplace domain” to time domain analysis. Moreover, time domain boundary integral equations for the reduced problem are established.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Electronic Journal of Differential Equations
Volume	2019
State	Published - 2019
Externally published	Yes

Keywords

Boundary integral equation
Open cavity
Time domain acoustic scattering
Transparent boundary condition
Well-posedness

Cite this

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title = "Acoustic scattering from open cavities in the time domain",

abstract = "This article concerns acoustic scattering from two-dimensional open cavities in the time domain. A transparent boundary condition is provided to reformulate the problem as an equivalent initial boundary value problem in the interior region of the open cavity. The well-posedness, that is, the existence, uniqueness and stability of the solution to the reduced problem, is proved via a “Laplace domain” to time domain analysis. Moreover, time domain boundary integral equations for the reduced problem are established.",

keywords = "Boundary integral equation, Open cavity, Time domain acoustic scattering, Transparent boundary condition, Well-posedness",

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journal = "Electronic Journal of Differential Equations",

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AU - Chen, B. O.

AU - Ma, Fuming

AU - Guo, Yukun

PY - 2019

Y1 - 2019

N2 - This article concerns acoustic scattering from two-dimensional open cavities in the time domain. A transparent boundary condition is provided to reformulate the problem as an equivalent initial boundary value problem in the interior region of the open cavity. The well-posedness, that is, the existence, uniqueness and stability of the solution to the reduced problem, is proved via a “Laplace domain” to time domain analysis. Moreover, time domain boundary integral equations for the reduced problem are established.

AB - This article concerns acoustic scattering from two-dimensional open cavities in the time domain. A transparent boundary condition is provided to reformulate the problem as an equivalent initial boundary value problem in the interior region of the open cavity. The well-posedness, that is, the existence, uniqueness and stability of the solution to the reduced problem, is proved via a “Laplace domain” to time domain analysis. Moreover, time domain boundary integral equations for the reduced problem are established.

KW - Boundary integral equation

KW - Open cavity

KW - Time domain acoustic scattering

KW - Transparent boundary condition

KW - Well-posedness

UR - https://www.scopus.com/pages/publications/85076894076

M3 - 文章

AN - SCOPUS:85076894076

SN - 1550-6150

VL - 2019

SP - 1

EP - 14

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Acoustic scattering from open cavities in the time domain

Abstract

Keywords

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