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| HAL: inria-00391907, version 1 |
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| CARI 2006 - Conférence Africaine sur la Recherche en Informatique et Mathématiques Appliquées, Cotonou : Bénin (2006) |
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| Analysis error via Hessian in variational data assimilation |
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| François-Xavier Le Dimet 1Victor P. Shutyaev 2 |
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| (2007) |
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| The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find the initial condition function. Based on the Hessian of the cost functional and the second-order adjoint techniques, the equation for the error of the optimal solution (analysis) is derived through the statistical errors of the input data. The covariance operator of the analysis error is expressed through the covariance operators of the input errors (background and observation errors). Numerical algorithms are developed to construct the covariance operator of the analysis error using the covariance operators of the input errors. |
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| 1: | MOISE (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann) |
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CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Université Joseph Fourier - Grenoble I – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
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| 2: | Institute of Numerical Mathematics [Moscou] (INM-RAS) |
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Russian Academy of Sciences |
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| 3: | University of Strathclyde |
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University of Strathclyde |
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| Domain | : | Mathematics/Optimization and Control |
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| data assimilation – optimal control – analysis error – Hessian – covariance operator |
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| inria-00391907, version 1 | |
| http://hal.inria.fr/inria-00391907 | |
| oai:hal.inria.fr:inria-00391907 | |
| From: Arthur Vidard | |
| Submitted for: | |
| Submitted on: Friday, 5 June 2009 10:31:57 | |
| Updated on: Tuesday, 26 February 2013 18:13:30 | |
