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Normally admissible stratifications and calculation of normal cones to a finite union of polyhedral sets

L Adam (adam***at***utia.cas.cz)
M Cervinka (cervinka***at***utia.cas.cz)
M Pistek (pistek***at***utia.cas.cz)

Abstract: This paper considers computation of Fr\'echet 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.

Keywords: union of polyhedral sets, tangent cone, Fr\'echet normal cone, limiting normal cone, normally admissible stratification, time dependent problems, delamination model

Category 1: Complementarity and Variational Inequalities

Category 2: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Category 3: Nonlinear Optimization (Constrained Nonlinear Optimization )

Citation: For citation please see http://dx.doi.org/10.1007/s11228-015-0325-8

Download: [PDF]

Entry Submitted: 09/02/2014
Entry Accepted: 09/02/2014
Entry Last Modified: 05/04/2015

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