Acoustic scattering from open cavities in the time domain
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Date
2019-12-16
Authors
Chen, Bo
Ma, Fuming
Guo, Yukun
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Time domain acoustic scattering, Open cavity, Transparent boundary condition, Well-posedness, Well-posedness, Boundary integral equation
Citation
Chen, B., Ma, F., & Guo, Y. (2019). Acoustic scattering from open cavities in the time domain. <i>Electronic Journal of Differential Equations, 2019</i>(131), pp. 1-14.
Rights
Attribution 4.0 International