首页|Sensitivity with respect to observations in variational data assimilation
Sensitivity with respect to observations in variational data assimilation
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NETL
NSTL
Walter De Gruyter
The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find the initial condition function (analysis). The observation data, and hence the optimal solution, may contain uncertainties. A response function is considered as a functional of the optimal solution after assimilation. Based on the second-order adjoint techniques, the sensitivity of the response function to the observation data is studied. The gradient of the response function is related to the solution of a non-standard problem involving the coupled system of direct and adjoint equations. The solvability of the non-standard problem is studied, based on the Hessian of the original cost function. An algorithm to compute the gradient of the response function with respect to observations is developed and justified.
Environmental problemsobservation data assimilationsensitivity of functionalsHessian
Shutyaev, Victor、Le Dimet, Francois-Xavier、Shubina, Elena
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Russian Acad Sci, Inst Numer Math, Moscow 119333, Russia|Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow Region, Russia
Univ Grenoble Alpes, LJK, BP 53, F-38053 Grenoble 9, France
Moscow State Univ Civil Engn MGSU, Moscow 129337, Russia
NETL
NSTL
Walter De Gruyter
