Identification of distributed parameter systems with pointwise constraints on the parameters (Q1111499)
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scientific article; zbMATH DE number 4074894
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Identification of distributed parameter systems with pointwise constraints on the parameters |
scientific article; zbMATH DE number 4074894 |
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Identification of distributed parameter systems with pointwise constraints on the parameters (English)
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1988
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The authors discuss the problem of identifying spatially varying parameters in parabolic equations from noisy data, provided the parameter functions have been measured at discrete points. A cost functional, involving a Tikhonov regularization, is used to formulate the problem as a minimization problem. Utilizing the Dubovitskij-Miljutin-Lemma, the necessary conditions for optimality are derived. The method is tested by means of some numerical examples.
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spatially varying parameters
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parabolic equations
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noisy data
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Tikhonov regularization
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