Parameter estimation in acoustic media using the adjoint method

We present an algorithm based on the adjoint method to locate points that provide an approximate solution to the parameter estimation problem for the acoustic model. The parameter belongs to infinite-dimensional sets. We prove the existence of the directional derivative of the solution with respect...

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Detalles Bibliográficos
Autor principal: Fernández-Berdaguer, E.M.
Formato: JOUR
Materias:
Direct algorithms
Inverse problems
Wave equations
Acoustics
Algorithms
Approximation theory
Boundary value problems
Convergence of numerical methods
Differential equations
Iterative methods
Mathematical models
Adjoint methods
Parameter estimation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03630129_v36_n4_p1315_FernandezBerdaguer
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We present an algorithm based on the adjoint method to locate points that provide an approximate solution to the parameter estimation problem for the acoustic model. The parameter belongs to infinite-dimensional sets. We prove the existence of the directional derivative of the solution with respect to the parameter in some dense set of directions of the set of parameters. This derivative is the solution of a differential boundary value problem. The adjoint problem is presented. A result on the convergence of the iterations is proved.

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