2009
DOI: 10.1137/090746240
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A Forward Approach to Numerical Data Assimilation

Abstract: Variational data assimilation problems are concerned with computing unknown initial values for the simulation and prediction of natural phenomena, most notably in weather prediction, and are usually solved via an ill-posed optimal control problem for the initial state at the time of the first available measurements. An alternative "forward" approach focuses on computation of the final state after this interval-which is just as suitable for prediction purposes-and is well-posed without additional regularization… Show more

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Cited by 3 publications
(2 citation statements)
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“…The most direct non-standard formulation of the inverse problem was given by Puel and al. [1,9,10]. This, first, consists in transforming the considered inverse problem into a zero controllability problem.…”
Section: Introductionmentioning
confidence: 99%
“…The most direct non-standard formulation of the inverse problem was given by Puel and al. [1,9,10]. This, first, consists in transforming the considered inverse problem into a zero controllability problem.…”
Section: Introductionmentioning
confidence: 99%
“…Its proof is based on Carleman estimates, a technique commonly used to derive exact controllability results (and also uniqueness for inverse problems), see [14,23] for details. A possible numerical realisation of Puel's strategy was presented in [9].…”
Section: Introductionmentioning
confidence: 99%