A variational inequality approach to constrained control problems for parabolic equations (Q1081833)
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scientific article; zbMATH DE number 3971608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variational inequality approach to constrained control problems for parabolic equations |
scientific article; zbMATH DE number 3971608 |
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A variational inequality approach to constrained control problems for parabolic equations (English)
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1988
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A distributed optimal control problem for parabolic systems with constraints in state is considered. The problem is transformed to a control problem without constraints but for systems governed by parabolic variational inequalities. The presented new formulation enables an efficient use of standard gradient methods for solving numerically the problem in question. Comparison with standard penalty methods as well as numerical examples are given.
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distributed optimal control
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parabolic systems
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constraints
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parabolic variational inequalities
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gradient methods
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