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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 variational data assimilation problems on reconstructing the initial-value functions is considered for the models governed by quasilinear 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 problems. The iterative algorithms for solving the problem are formulated and justified.
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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