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Inverse problems for estimating bottom boundary conditions of natural waters
Author(s) -
de Campos Velho Haroldo F.,
Retamoso Mario R.,
Vilhena Marco Tulio M. B.
Publication year - 2002
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.465
Subject(s) - inverse problem , regularization (linguistics) , boundary value problem , inverse , radiance , mathematical optimization , mathematics , radiative transfer , grid , computer science , algorithm , mathematical analysis , remote sensing , geometry , geology , optics , artificial intelligence , physics
Unknown boundary conditions for natural waters are estimated using an inverse problem methodology. In the formulation of the inverse problem, expressed as a non‐linear constrained optimization problem, its objective function is given by a square difference term, between experimental and computed data, added to a regularization operator. The computed data are obtained by solving the radiative transfer direct problem using the LTS N method. A key aspect to get a good reconstruction is played by observed data quality. The reconstruction strategy is examined for in situ radiance and irradiance data for many arrangements of the experimental grid of the measurement devices, in order to plan good designs for experimental works. Copyright © 2002 John Wiley & Sons, Ltd.