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The minimization of an L^{\infty}-functional subject to an elliptic PDE and state constraints (2008)

Prüfert, Uwe ; Schiela, Anton

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Publication Date: 2016-06-09

Description: We study the optimal control of a maximum-norm objective functional subject to an elliptic-type PDE and pointwise state constraints. The problem is transformed into a problem where the non-differentiable L^{\infty}-norm in the functional will be replaced by a scalar variable and additional state constraints. This problem is solved by barrier methods. We will show the existence and convergence of the central path for a class of barrier functions. Numerical experiments complete the presentation.

Keywords: ddc:000

Language: English

Type: reportzib , doc-type:preprint

Format: application/pdf

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