Analysis of the time domain acoustic scattering from open cavities
classification
🧮 math.AP
keywords
domainproblemtimeanalysisboundaryopenscatteringacoustic
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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.
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