Normally Admissible Stratifications and Calculation of Normal Cones to a Finite Union of Polyhedral Sets |
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Authors: | Lukáš Adam Michal Červinka Miroslav Pištěk |
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Affiliation: | 1.Institute of Information Theory and Automation,Czech Academy of Sciences,Prague 8,Czech Republic;2.Faculty of Social Sciences,Charles University in Prague,Prague 1,Czech Republic |
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Abstract: | This paper considers computation of Fréchet and limiting normal cones to a finite union of polyhedra. To this aim, we introduce a new concept of normally admissible stratification which is convenient for calculations of such cones and provide its basic properties. We further derive formulas for the above mentioned cones and compare our approach to those already known in the literature. Finally, we apply this approach to a class of time dependent problems and provide an illustration on a special structure arising in delamination modeling. |
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