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Normally Admissible Stratifications and Calculation of Normal Cones to a Finite Union of Polyhedral Sets
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SYSNO ASEP 0447818 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Normally Admissible Stratifications and Calculation of Normal Cones to a Finite Union of Polyhedral Sets Author(s) Adam, Lukáš (UTIA-B)
Červinka, Michal (UTIA-B) RID, ORCID
Pištěk, Miroslav (UTIA-B) RID, ORCIDNumber of authors 3 Source Title Set-Valued and Variational Analysis. - : Springer - ISSN 1877-0533
Roč. 24, č. 2 (2016), s. 207-229Number of pages 23 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords Union of polyhedral sets ; Tangent cone ; Frechet normal cone ; Limiting normal cone ; Normally admissible stratification ; Time dependent problems ; Delamination model Subject RIV BA - General Mathematics R&D Projects GAP402/12/1309 GA ČR - Czech Science Foundation (CSF) GA15-00735S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000375418300002 EID SCOPUS 84964727701 DOI 10.1007/s11228-015-0325-8 Annotation This paper considers computation of Frechet 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2017
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