Abstract
A class of quasilinear variational data assimilation problems on the identification of the the initial-value functions is considered for the models governed by evolution equations. The optimality system is reduced to the equation for the control function. The properties of the control equation are studied and the solvability theorems are proved for linear and quasilinear data assimilation optimality systems. The iterative algorithms for solving the problem are formulated and justified.
Funding provided by grant 03-01-00779 of the Russian Foundation for Basic Research
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Shutyaev, V. (2005). Solvability and Numerical Solution of Variational Data Assimilation Problems. In: Cagnol, J., Zolésio, JP. (eds) System Modeling and Optimization. CSMO 2003. IFIP International Federation for Information Processing, vol 166. Springer, Boston, MA. https://doi.org/10.1007/0-387-23467-5_13
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DOI: https://doi.org/10.1007/0-387-23467-5_13
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4020-7760-9
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