[图书][B] Variational analysis and applications
BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints∗
A Schiela, D Wachsmuth - ESAIM: Mathematical Modelling and …, 2013 - cambridge.org
In the article an optimal control problem subject to a stationary variational inequality is
investigated. The optimal control problem is complemented with pointwise control …
investigated. The optimal control problem is complemented with pointwise control …
Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints
M Hintermüller, BS Mordukhovich… - Mathematical …, 2014 - Springer
The derivation of multiplier-based optimality conditions for elliptic mathematical programs
with equilibrium constraints (MPEC) is essential for the characterization of solutions and …
with equilibrium constraints (MPEC) is essential for the characterization of solutions and …
Comparison of optimality systems for the optimal control of the obstacle problem
F Harder, G Wachsmuth - GAMM‐Mitteilungen, 2018 - Wiley Online Library
Comparison of optimality systems for the optimal control of the obstacle problem Page 1
GAMM-Mitt. 40, No. 4, 312 – 338 (2017) / DOI 10.1002/gamm.201740004 Comparison of …
GAMM-Mitt. 40, No. 4, 312 – 338 (2017) / DOI 10.1002/gamm.201740004 Comparison of …
Towards M-stationarity for optimal control of the obstacle problem with control constraints
G Wachsmuth - SIAM Journal on Control and Optimization, 2016 - SIAM
We consider an optimal control problem, whose state is given as the solution of the obstacle
problem. The controls are not assumed to be dense in H^-1(Ω). Hence, local minimizers may …
problem. The controls are not assumed to be dense in H^-1(Ω). Hence, local minimizers may …
Optimal control of an Allen--Cahn equation with singular potentials and dynamic boundary condition
P Colli, J Sprekels - SIAM Journal on Control and Optimization, 2015 - SIAM
In this paper, we investigate optimal control problems for Allen--Cahn equations with
differentiable singular nonlinearities and a dynamic boundary condition involving …
differentiable singular nonlinearities and a dynamic boundary condition involving …
Efficient techniques for shape optimization with variational inequalities using adjoints
In general, standard necessary optimality conditions cannot be formulated in a
straightforward manner for semismooth shape optimization problems. In this paper, we …
straightforward manner for semismooth shape optimization problems. In this paper, we …
Directional differentiability for elliptic quasi-variational inequalities of obstacle type
The directional differentiability of the solution map of obstacle type quasi-variational
inequalities (QVIs) with respect to perturbations on the forcing term is studied. The classical …
inequalities (QVIs) with respect to perturbations on the forcing term is studied. The classical …
Mathematical programs with complementarity constraints in Banach spaces
G Wachsmuth - Journal of Optimization Theory and Applications, 2015 - Springer
We consider optimization problems in Banach spaces involving a complementarity
constraint, defined by a convex cone K. By transferring the local decomposition approach …
constraint, defined by a convex cone K. By transferring the local decomposition approach …
[PDF][PDF] A shape derivative for optimal control of the nonlinear Brinkman-Forchheimer equation
JRG Granada, VA Kovtunenko - J. Appl. Numer. Optim, 2021 - static.uni-graz.at
For a generalized Brinkman–Forchheimer's equation under divergence-free and mixed
boundary conditions, the stationary equilibrium problem and the inverse problem of shape …
boundary conditions, the stationary equilibrium problem and the inverse problem of shape …