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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Guardado en:
Detalles Bibliográficos
Publicado: 1998
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:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03630129_v36_n4_p1315_FernandezBerdaguer
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
id paper:paper_03630129_v36_n4_p1315_FernandezBerdaguer
record_format dspace
spelling paper:paper_03630129_v36_n4_p1315_FernandezBerdaguer2023-06-08T15:35:26Z Parameter estimation in acoustic media using the adjoint method 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 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. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03630129_v36_n4_p1315_FernandezBerdaguer http://hdl.handle.net/20.500.12110/paper_03630129_v36_n4_p1315_FernandezBerdaguer
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 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
spellingShingle 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
Parameter estimation in acoustic media using the adjoint method
topic_facet 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
description 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.
title Parameter estimation in acoustic media using the adjoint method
title_short Parameter estimation in acoustic media using the adjoint method
title_full Parameter estimation in acoustic media using the adjoint method
title_fullStr Parameter estimation in acoustic media using the adjoint method
title_full_unstemmed Parameter estimation in acoustic media using the adjoint method
title_sort parameter estimation in acoustic media using the adjoint method
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03630129_v36_n4_p1315_FernandezBerdaguer
http://hdl.handle.net/20.500.12110/paper_03630129_v36_n4_p1315_FernandezBerdaguer
_version_ 1768544367264399360

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