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iterative algorithms.

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Solvability and numerical algorithms for a class ofvariational dataassimilation problems
Guri Marchuk, Victor Shutyaev
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 8 / 2002

Published online by Cambridge University Press:

15 August 2002, pp. 873-883

Print publication:

2002
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A class of variationaldata assimilation problems on reconstructingthe initial-value functions is considered for the models governed byquasilinear evolution equations. The optimality system is reduced to theequation for the control function. The properties of the control equation are studied and thesolvability theorems are proved for linear and quasilinear data assimilationproblems. The iterative algorithms for solving the problem are formulated andjustified.