[图书][B] Optimization with PDE constraints
Solving optimization problems subject to constraints given in terms of partial d-ferential
equations (PDEs) with additional constraints on the controls and/or states is one of the most …
equations (PDEs) with additional constraints on the controls and/or states is one of the most …
The primal-dual active set strategy as a semismooth Newton method
This paper addresses complementarity problems motivated by constrained optimal control
problems. It is shown that the primal-dual active set strategy, which is known to be extremely …
problems. It is shown that the primal-dual active set strategy, which is known to be extremely …
[图书][B] Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces
M Ulbrich - 2011 - SIAM
This book provides a comprehensive treatment of a very successful class of methods for
solving optimization problems with PDE and inequality constraints as well as variational …
solving optimization problems with PDE and inequality constraints as well as variational …
[图书][B] Optimale Steuerung partieller Differentialgleichungen
F Tröltzsch - 2005 - Springer
Die mathematische Optimierung von Vorgängen, die durch partielle Differentialgleichungen
modelliert werden, hat in den letzten Jahren einen beachtlichen Aufschwung genommen …
modelliert werden, hat in den letzten Jahren einen beachtlichen Aufschwung genommen …
Elliptic optimal control problems with L 1-control cost and applications for the placement of control devices
G Stadler - Computational Optimization and Applications, 2009 - Springer
Elliptic optimal control problems with L 1-control cost are analyzed. Due to the nonsmooth
objective functional the optimal controls are identically zero on large parts of the control …
objective functional the optimal controls are identically zero on large parts of the control …
Semismooth Newton methods for operator equations in function spaces
M Ulbrich - SIAM Journal on Optimization, 2002 - SIAM
We develop a semismoothness concept for nonsmooth superposition operators in function
spaces. The considered class of operators includes nonlinear complementarity problem …
spaces. The considered class of operators includes nonlinear complementarity problem …
[图书][B] Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation and Perspectives
Do you know the difference between an optimist and a pessimist? The former believes we
live in the best possible world, and the latter is afraid that the former might be right.… In that …
live in the best possible world, and the latter is afraid that the former might be right.… In that …
A mesh-independence result for semismooth Newton methods
M Hintermüller, M Ulbrich - Mathematical Programming, 2004 - Springer
For a class of semismooth operator equations a mesh independence result for generalized
Newton methods is established. The main result states that the continuous and the discrete …
Newton methods is established. The main result states that the continuous and the discrete …
Nonmonotone trust-region methods for bound-constrained semismooth equations with applications to nonlinear mixed complementarity problems
M Ulbrich - SIAM Journal on Optimization, 2001 - SIAM
We develop and analyze a class of trust-region methods for bound-constrained semismooth
systems of equations. The algorithm is based on a simply constrained differentiable …
systems of equations. The algorithm is based on a simply constrained differentiable …
Parallel algorithms for PDE-constrained optimization
PDE-constrained optimization refers to the optimization of systems governed by PDEs. The
simulation problem is to solve the PDEs for the state variables (eg, displacement, velocity …
simulation problem is to solve the PDEs for the state variables (eg, displacement, velocity …