0447818 20240103210659.420151015235959.9 84964727701 000375418300002 10.1007/s11228-015-0325-8 23 s. P cav_un_epca*03439671877-0533242 (2016)207-229Springer Union of polyhedral sets Tangent cone Frechet normal cone Limiting normal cone Normally admissible stratification Time dependent problems Delamination model cav_un_auth*0309054 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Adam Lukáš UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0220207 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Červinka Michal UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0234872 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Pištěk Miroslav UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2015/MTR/adam-0447818.pdf cav_un_auth*0284931 GAP402/12/1309 GA ČR cav_un_auth*0321507 GA15-00735S GA ČR 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. BA 2017 3 RVO:67985556 http://hdl.handle.net/11104/0250226 S 2 Article Mathematics Applied MATHEMATICS.APPLIED 1.080 0.162 4.1 0.00216 0.858 249 1.070 Q1 0.823 37 Q3 73.729 48 Q2 Q2 48.039 2016 84964727701 SCOPUS 000375418300002 WOS cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 24 č. 2 2016 207 229 Springer