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2004•Russian Journal of Numerical Analysis and Mathematical ModellingRequires access

Numerical solution of the ocean data assimilation problem

G. M. Kobelkov, Vladimir Gvozdev

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Abstract

We consider the problem of optimal control by a boundary condition for the heat equation. This problem arises in the process of mathematical formulation of a data assimilation problem for the reconstruction of the ocean surface temperature by approximate initial data and a solution. For the regularized functional, existence and uniqueness of a solution to this problem is proved; an efficient iterative method for solving this problem is proposed and justified.

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What this paper is about

We consider the problem of optimal control by a boundary condition for the heat equation. This problem arises in the process of mathematical formulation of a data assimilation problem for the reconstruction of the ocean surface temperature by approximate initial data and a solution. For the regularized functional, existence and uniqueness of a solution to this problem is proved; an efficient iterative method for solving this problem is proposed and justified.

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Available abstract

We consider the problem of optimal control by a boundary condition for the heat equation. This problem arises in the process of mathematical formulation of a data assimilation problem for the reconstruction of the ocean surface temperature by approximate initial data and a solution. For the regularized functional, existence and uniqueness of a solution to this problem is proved; an efficient iterative method for solving this problem is proposed and justified.

Key concepts: Uniqueness, Data assimilation, Boundary value problem, Mathematics, Applied mathematics, Optimal control, Mathematical optimization, Mathematical analysis

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