Suchergebnisse - Elliptic mathematical programs with equilibrium constraints

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  1. 1

    First-Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis von Hintermüller, M., Surowiec, T.

    ISSN: 1052-6234, 1095-7189
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.10.2011
    Veröffentlicht 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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    Journal Article
  2. 2

    Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints von Hintermüller, Michael, Mordukhovich, Boris S., Surowiec, Thomas M.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2014
    Veröffentlicht 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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    Journal Article
  3. 3

    Direct pseudo‐spectral method for optimal control of obstacle problem – an optimal control problem governed by elliptic variational inequality von Khaksar‐e Oshagh, M., Shamsi, M.

    ISSN: 0170-4214, 1099-1476
    Veröffentlicht: Freiburg Wiley Subscription Services, Inc 15.09.2017
    Veröffentlicht 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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    Journal Article
  4. 4

    A bundle-free implicit programming approach for a class of elliptic MPECs in function space von Hintermüller, M., Surowiec, T.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2016
    Veröffentlicht 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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    Journal Article
  5. 5

    Strong Stationarity Conditions for the Optimal Control of a Cahn–Hilliard–Navier–Stokes System von Hintermüller, Michael, Keil, Tobias

    ISSN: 0095-4616, 1432-0606
    Veröffentlicht: New York Springer US 01.02.2024
    Veröffentlicht 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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    Journal Article
  6. 6

    Risk-neutral PDE-constrained generalized Nash equilibrium problems von Gahururu, Deborah B., Hintermüller, Michael, Surowiec, Thomas M.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2023
    Veröffentlicht 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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    Journal Article
  7. 7

    B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening von Herzog, Roland, Meyer, Christian, Wachsmuth, Gerd

    ISSN: 1052-6234, 1095-7189
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
    Veröffentlicht 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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    Journal Article
  8. 8

    Book reviews von Brezinski, C

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer Nature B.V 01.09.1997
    Veröffentlicht 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