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Abstract:

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.

Registro:

Documento: Artículo
Título:Parameter estimation in acoustic media using the adjoint method
Autor:Fernández-Berdaguer, E.M.
Filiación:CONICET, Institute de Cálculo FCEyN, Pabellón II, Buenos Aires, Argentina
Palabras clave:Direct algorithms; Inverse problems; Wave equations; Acoustics; Algorithms; Approximation theory; Boundary value problems; Convergence of numerical methods; Differential equations; Inverse problems; Iterative methods; Mathematical models; Adjoint methods; Parameter estimation
Año:1998
Volumen:36
Número:4
Página de inicio:1315
Página de fin:1330
DOI: http://dx.doi.org/10.1137/S0363012996299326
Título revista:SIAM Journal on Control and Optimization
Título revista abreviado:SIAM J Control Optim
ISSN:03630129
CODEN:SJCOD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03630129_v36_n4_p1315_FernandezBerdaguer

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Citas:

---------- APA ----------
(1998) . Parameter estimation in acoustic media using the adjoint method. SIAM Journal on Control and Optimization, 36(4), 1315-1330.
http://dx.doi.org/10.1137/S0363012996299326
---------- CHICAGO ----------
Fernández-Berdaguer, E.M. "Parameter estimation in acoustic media using the adjoint method" . SIAM Journal on Control and Optimization 36, no. 4 (1998) : 1315-1330.
http://dx.doi.org/10.1137/S0363012996299326
---------- MLA ----------
Fernández-Berdaguer, E.M. "Parameter estimation in acoustic media using the adjoint method" . SIAM Journal on Control and Optimization, vol. 36, no. 4, 1998, pp. 1315-1330.
http://dx.doi.org/10.1137/S0363012996299326
---------- VANCOUVER ----------
Fernández-Berdaguer, E.M. Parameter estimation in acoustic media using the adjoint method. SIAM J Control Optim. 1998;36(4):1315-1330.
http://dx.doi.org/10.1137/S0363012996299326