Identification of a spatially varying parameter in a time-periodic parabolic system
- 1 August 1987
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 46 (2) , 699-708
- https://doi.org/10.1080/00207178708933924
Abstract
The estimation of a spatially varying parameter in a time-periodic boundary-value parabolic system is considered. We show that the parameter can be identified in the corresponding initial boundary-value problem. The minimization of the output least-squares criterion via the adjoint state method is implemented (using the ‘discrete’ gradient). Numerical experiments are presented on a problem taken from oceanography: the identification of the CO2 turbulent diffusion coefficient in a column of water. Cubic spline approximations of the parameter are tested on different sets of data.Keywords
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- Estimation of spatially varying parameters in partial differential equations†International Journal of Control, 1972