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parameter identification; parabolic problem; finite element method; Crank-Nicolson scheme; least squares method; heat equation; inverse problem; error bounds
The identification problem of a functional coefficient in a parabolic equation is considered. For this purpose an output least squares method is introduced, and estimates of the rate of convergence for the Crank-Nicolson time discretization scheme are proved, the equation being approximated with the finite element Galerkin method with respect to space variables.
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