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Numerical testing in determination of sound speed from a part of boundary by the BC-method
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2015
Year
Numerical AnalysisAeroacousticsAcoustic Equation UOutdoor Sound PropagationNumerical TestingEngineeringEngineering AcousticAcoustic RaysPhysical AcousticSound SpeedNoiseSound PropagationUltrasoundNonlinear AcousticAcoustic AnalysisComputational AcousticsSound Speed CHealth Sciences
Abstract We present the results of numerical testing on determination of the sound speed c in the acoustic equation u tt - c 2 Δ u = 0 by the boundary control method . The inverse data is a response operator (a hyperbolic Dirichlet-to-Neumann map) given on controls, which are supported on a part of the boundary. The speed is determined in the subdomain covered by acoustic rays, which are emanated from the points of this part orthogonally to the boundary. The determination is time-optimal : the longer the observation time is, the larger the subdomain is, in which c is recovered. The numerical results are preceded with a brief exposition of the relevant variant of the BC-method.