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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2024, Volume 27, Number 1, Pages 97–112
DOI: https://doi.org/10.15372/SJNM20240108 (Mi sjvm864) 		 
Sensitivity of functionals to input data in a variational assimilation problem for the sea thermodynamics model

V. P. Shutyaev, E. I. Parmuzin

Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.15372/SJNM20240108
Abstract: A problem of variational data assimilation for a sea thermodynamics model is considered, with the aim to reconstruct sea surface heat fluxes taking into account the covariance matrices of input data errors. The sensitivity of some solution functionals to input data in this problem of variational assimilation is studied, and the results of numerical experiments for a model of dynamics of the Baltic Sea are presented.
Key words: variational data assimilation, optimal control, adjoint equations, sensitivity of functionals, sea thermodynamics model.
Funding agency Grant number
Russian Science Foundation 20-11-20057
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-286
Received: 05.06.2023
Revised: 12.09.2023
Accepted: 27.10.2023
Bibliographic databases:
Document Type: Article
UDC: 519.6, 551.46
Language: Russian
Citation: V. P. Shutyaev, E. I. Parmuzin, “Sensitivity of functionals to input data in a variational assimilation problem for the sea thermodynamics model”, Sib. Zh. Vychisl. Mat., 27:1 (2024), 97–112
Citation in format AMSBIB
\Bibitem{ShuPar24}
\by V.~P.~Shutyaev, E.~I.~Parmuzin
\paper Sensitivity of functionals to input data in a variational assimilation problem for the sea thermodynamics model
\jour Sib. Zh. Vychisl. Mat.
\yr 2024
\vol 27
\issue 1
\pages 97--112
\mathnet{http://mi.mathnet.ru/sjvm864}
\crossref{https://doi.org/10.15372/SJNM20240108}
\edn{https://elibrary.ru/DIFXSQ}
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