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Error estimates for the initial value of the variational assimilation method in a model including “on-off” switches. (Chinese. English summary) Zbl 1199.47259

Summary: The initial value of the one-dimensional model including “on-off” switches is optimally modified with global observation data by using the variational assimilation method. The impacts of observation errors on the assimilated initial value are analyzed in the “on-off” problem. Some mathematical methods are used to prove the convergence and estimate the convergence rates of the assimilated initial conditions, and the variational assimilation method is proved to be an effective theoretical method.

MSC:

47J20 Variational and other types of inequalities involving nonlinear operators (general)
47J30 Variational methods involving nonlinear operators
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