Abstract:
Based on the theory of adjoint equations, iterative algorithms for solving one class of problems of assimilating data for the reconstruction of the initial condition are developed and substantiated. The iterative processes are optimized with the use of the spectral properties of control operators. The results are illustrated by the example of the quasi-local model of turbulent heat transfer in the ocean.
Keywords:
adjoint equations, optimal control, variational data assimilation, iterative algorithms.
Citation:
G. I. Marchuk, V. P. Shutyaev, “Adjoint equations and iterative algorithms in problems of variational data assimilation”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 136–150; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S138–S152
\Bibitem{MarShu11}
\by G.~I.~Marchuk, V.~P.~Shutyaev
\paper Adjoint equations and iterative algorithms in problems of variational data assimilation
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 2
\pages 136--150
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2012
\vol 276
\issue , suppl. 1
\pages S138--S152
\crossref{https://doi.org/10.1134/S0081543812020113}
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Linking options:
https://www.mathnet.ru/eng/timm703
https://www.mathnet.ru/eng/timm/v17/i2/p136
This publication is cited in the following 3 articles:
Yu. V. Belova, A. V. Nikitina, “Application of Methods of Observational Data Assimilation to Model the Spread of Pollutants in a Reservoir and Manage Sustainable Development”, Safety of Technogenic and Natural Systems, 2024, no. 3, 39
Shutyaev V.P., “Methods For Observation Data Assimilation in Problems of Physics of Atmosphere and Ocean”, Izv. Atmos. Ocean. Phys., 55:1 (2019), 17–31
Alexander I. Sukhinov, Alexander E. Chistyakov, Alla V. Nikitina, Alena A. Filina, Yulia V. Belova, Communications in Computer and Information Science, 1129, Supercomputing, 2019, 166
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