01967398

j

01967398 Marchuk, Guri Shutyaev, Victor Solvability and numerical algorithms for a class of variational data assimilation problems. ESAIM, Control Optim. Calc. Var. 8, 873-883 (2002). 2002 SMAI, Institut Henri Poincar\'e, Paris; EDP Sciences, Les Ulis; Cambridge University Press, Cambridge EN variational data assimilation quasilinear evolution problem optimality system control equation solvability iterative algorithms method of successive approximation

doi:10.1051/cocv:2002044

numdam:COCV_2002__8__873_0

Summary: 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.