Article
MSC:
35B37,
35K05,
35R30,
49N50,
65M06,
65M15,
65M30,
65M60 | MR 1453932 | Zbl 0902.65036 | DOI: 10.1023/A:1023012328209
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Keywords:
parameter identification; parabolic problem; finite element method; Crank-Nicolson scheme; least squares method; heat equation; inverse problem; error bounds
parameter identification; parabolic problem; finite element method; Crank-Nicolson scheme; least squares method; heat equation; inverse problem; error bounds
Summary:
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.
References:
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