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On the Newton's Algorithm for Data Assimilation problem: Application to an infiltration model

Pierre Ngnepieba 1 François-Xavier Le Dimet 2 Amari Jones 1 Victor P. Shutyaev 3
1 FAMU - Florida Agricultural and Mechanical University
2 MOISE - Modelling, Observations, Identification for Environmental Sciences
Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, LJK - Laboratoire Jean Kuntzmann, Inria Grenoble - Rhône-Alpes
3 INM-RAS - Institute of Numerical Mathematics [Moscou]
Abstract : The problem of data assimilation for a nonlinear evolution model is considered with the aim to identify the initial and/or boundary conditions. An approach to solve the data assimilation process is described. This approach is based on the Newton's Method. An application to the data assimilation problem in hydrology is presented. Numerical results are given.
Keywords : Newton's Method data assimilation infiltration optimality system adjoint Hessian Richards equation
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https://hal.inria.fr/inria-00391870
Contributor : Arthur Vidard Connect in order to contact the contributor
Submitted on : Friday, June 5, 2009 - 10:16:19 AM
Last modification on : Tuesday, October 19, 2021 - 11:12:57 PM

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  • HAL Id : inria-00391870, version 1

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INSMI | CNRS | INRIA | LJK_MAD_MOISE | LJK_MAD | LJK | TDS-MACS | UGA

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Pierre Ngnepieba, François-Xavier Le Dimet, Amari Jones, Victor P. Shutyaev. On the Newton's Algorithm for Data Assimilation problem: Application to an infiltration model. International Journal of Pure and Applied Mathematics, Academic Publishing Ltd, 2009, 52 (1), pp.67-85. ⟨inria-00391870⟩

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