THE CONVERGENCE OF GALERKIN METHOD FOR DATA ASSIMILATION PROBLEM IN THE PERTUBED OBSERVATION CONDITION
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Abstract
The purpose of the variational data assimilation problem is to com
pute the unknown initial condition of a process in order to forecast the
next evolution process. In this paper, we prove that the solution of the
discrete problem converges to the solution of the initial problem when
the observation is pertubed.
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