A Bundle-Free Implicit Programming Approach for a Class of MPECs in Function Space

Please always quote using this URN:urn:nbn:de:0296-matheon-13267
  • Using a standard first-order optimality condition for nonsmooth optimization problems, a general framework for a descent method is developed. This setting is applied to a class of mathematical programs with equilibrium constraints in function space from which a new algorithm is derived. Global convergence of the algorithm is demonstrated in function space and the results are then illustrated by numerical experiments.

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Metadaten
Author:Thomas Surowiec, Michael Hintermüller
URN:urn:nbn:de:0296-matheon-13267
Referee:Rene Henrion
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2014/08/01
Release Date:2014/08/01
Tag:elliptic variational inequality, elliptic MPEC, implicit programming, optimal control of variational inequalities, nonsmooth optimization
Institute:Humboldt-Universität zu Berlin
B Networks / B-AP6 Parameteridentifikation, Sensor-lokalisierung und Quantifizierung von Unsicherheiten mit schaltenden Systemen von PDEs
D Optics and Electronics (Electronic and photonic devices) / D-OT1 Mathematical modeling, analysis, and optimization of strained Germanium-microbridges
MSC-Classification:49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Mxx Numerical methods [See also 90Cxx, 65Kxx] / 49M05 Methods based on necessary conditions
65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K05 Mathematical programming methods [See also 90Cxx]
90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C06 Large-scale problems
Preprint Number:1070
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