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Solvability and numerical algorithms for a class ofvariational dataassimilation problems
Published online by Cambridge University Press: 15 August 2002
Abstract
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.
Keywords
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 873 - 883
- Copyright
- © EDP Sciences, SMAI, 2002
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