Asymptotic analysis of Neumann periodic optimal boundary control problem (Q2830309)
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scientific article; zbMATH DE number 6645134
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic analysis of Neumann periodic optimal boundary control problem |
scientific article; zbMATH DE number 6645134 |
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Asymptotic analysis of Neumann periodic optimal boundary control problem (English)
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28 October 2016
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optimal control and optimal solution
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oscillating boundary
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boundary control
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interior control
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adjoint system
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unfolding operator
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boundary unfolding
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A (linear) boundary optimal control problem is treated here in the context of the periodic homogenization framework. The controls are acting periodically on the oscillating boundary, the non-oscillating part of the domain boundary being controls-free. A particularly innovative ingredient here is the use of the periodic unfolding concept. Interestingly, the limit optimal control problem incorporates three different kinds of controls: a distributed control, a boundary control, as well as an interface control.
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