Suchergebnisse - Elliptic mathematical programs with equilibrium constraints
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First-Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis
ISSN: 1052-6234, 1095-7189Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.10.2011Veröffentlicht in SIAM journal on optimization (01.10.2011)“… Mathematical programs in which the constraint set is partially defined by the solutions of an elliptic variational inequality, so-called "elliptic MPECs," are formulated in reflexive Banach spaces …”
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Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints
ISSN: 0025-5610, 1436-4646Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2014Veröffentlicht in Mathematical programming (01.08.2014)“… The derivation of multiplier-based optimality conditions for elliptic mathematical programs with equilibrium constraints (MPEC …”
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Direct pseudo‐spectral method for optimal control of obstacle problem – an optimal control problem governed by elliptic variational inequality
ISSN: 0170-4214, 1099-1476Veröffentlicht: Freiburg Wiley Subscription Services, Inc 15.09.2017Veröffentlicht in Mathematical methods in the applied sciences (15.09.2017)“… By using the pseudo‐spectral method, the infinite dimensional mathematical programming with equilibrium constraint, which can be an equivalent form of the considered problem, is converted to a finite dimensional …”
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A bundle-free implicit programming approach for a class of elliptic MPECs in function space
ISSN: 0025-5610, 1436-4646Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2016Veröffentlicht in Mathematical programming (01.11.2016)“… This setting is applied to a class of mathematical programs with equilibrium constraints in function space from which a new algorithm is derived …”
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Strong Stationarity Conditions for the Optimal Control of a Cahn–Hilliard–Navier–Stokes System
ISSN: 0095-4616, 1432-0606Veröffentlicht: New York Springer US 01.02.2024Veröffentlicht in Applied mathematics & optimization (01.02.2024)“… The existence of solutions to the primal system and of optimal controls is established. The Lipschitz continuity of the constraint mapping is derived and used …”
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Risk-neutral PDE-constrained generalized Nash equilibrium problems
ISSN: 0025-5610, 1436-4646Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2023Veröffentlicht in Mathematical programming (01.04.2023)“… A class of risk-neutral generalized Nash equilibrium problems is introduced in which the feasible strategy set of each player is subject to a common linear elliptic partial differential equation with random inputs …”
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B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening
ISSN: 1052-6234, 1095-7189Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013Veröffentlicht in SIAM journal on optimization (01.01.2013)“… Optimal control problems for the variational inequality of static elastoplasticity with linear kinematic hardening are considered. The control-to-state map is …”
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Book reviews
ISSN: 1017-1398, 1572-9265Veröffentlicht: New York Springer Nature B.V 01.09.1997Veröffentlicht in Numerical algorithms (01.09.1997)“… RALPH,Mathematical Programs with Equilibrium Constraints,Cambridge University Press, Cambridge, 1996P.R. POPIVANOV and D.K …”
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Book Review