Výsledky vyhľadávania - Elliptic mathematical programs with equilibrium constraints

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

“…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 Autor Hintermüller, Michael, Mordukhovich, Boris S., Surowiec, Thomas M.

“…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 Autor Khaksar‐e Oshagh, M., Shamsi, M.

“… 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 Autor Hintermüller, M., Surowiec, T.

“… 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 Autor Hintermüller, Michael, Keil, Tobias

“… 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 Autor Gahururu, Deborah B., Hintermüller, Michael, Surowiec, Thomas M.

“…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 Autor Herzog, Roland, Meyer, Christian, Wachsmuth, Gerd

“…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 Autor Brezinski, C

“… RALPH,Mathematical Programs with Equilibrium Constraints,Cambridge University Press, Cambridge, 1996P.R. POPIVANOV and D.K…”
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