Search Results - Elliptic mathematical programs with equilibrium constraints

First-Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis by 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…”
Get full text

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

“…The derivation of multiplier-based optimality conditions for elliptic mathematical programs with equilibrium constraints (MPEC…”
Get full text

Direct pseudo‐spectral method for optimal control of obstacle problem – an optimal control problem governed by elliptic variational inequality by 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…”
Get full text

A bundle-free implicit programming approach for a class of elliptic MPECs in function space by 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…”
Get full text

Strong Stationarity Conditions for the Optimal Control of a Cahn–Hilliard–Navier–Stokes System by 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…”
Get full text

Risk-neutral PDE-constrained generalized Nash equilibrium problems by 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…”
Get full text

B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening by 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…”
Get full text

Book reviews by Brezinski, C

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