Analysis of the time domain acoustic scattering from open cavities
Analysis of PDEs
2018-09-18 v1
Abstract
This paper is concerned with the analysis of the time domain acoustic scattering from two-dimensional open cavities. A transparent boundary condition is developed to reformulate the scattering problem into an equivalent initial boundary value problem in the interior domain of the open cavity. The well-posedness, that is, the existence, uniqueness and stability of the solution to the reduced problem are studied via a "Laplace domain" to time domain analysis. Moreover, time domain boundary integral equations for the reduced problem are established.
Keywords
Cite
@article{arxiv.1809.05795,
title = {Analysis of the time domain acoustic scattering from open cavities},
author = {Bo Chen and Fuming Ma and Yukun Guo},
journal= {arXiv preprint arXiv:1809.05795},
year = {2018}
}
Comments
15 pages, 1 figure