A control reduced primal interior point method for a class of control constrained optimal control problems

DOI10.1007/s10589-007-9088-yzbMath1190.90278OpenAlexW2093742335MaRDI QIDQ732245

Anton Schiela, Tobias Gänzler, Martin Weiser

Publication date: 9 October 2009

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-007-9088-y

zbMATH Keywords

optimal controlfinite elementsdiscretization errorinterior point methods in function space

Mathematics Subject Classification ID

Interior-point methods (90C51) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (15)

An interior point method designed for solving linear quadratic optimal control problems withhpfinite elements ⋮ Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices ⋮ A path-following inexact Newton method for PDE-constrained optimal control in BV ⋮ Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization ⋮ Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization ⋮ Optimality Conditions (in Pontryagin Form) ⋮ An interior point algorithm with inexact step computation in function space for state constrained optimal control ⋮ Kaskade 7 -- a flexible finite element toolbox ⋮ An immersed boundary method for fluid-structure interaction based on variational transfer ⋮ INTERACTIVE CHEBYSHEV–LEGENDRE ALGORITHM FOR LINEAR QUADRATIC OPTIMAL REGULATOR SYSTEMS ⋮ Primal-dual interior-point methods for PDE-constrained optimization ⋮ Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems ⋮ Algorithms for PDE-constrained optimization ⋮ A shape optimization algorithm for interface identification allowing topological changes ⋮ Computing Multiple Solutions of Topology Optimization Problems

Uses Software

• NewtonLib

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Superlinear convergence of the control reduced interior point method for PDE constrained optimization
• Primal-dual interior-point methods for PDE-constrained optimization
• A multigrid method for a parameter dependent problem in solid mechanics
• A variational discretization concept in control constrained optimization: The linear-quadratic case
• Error estimates for the numerical approximation of a semilinear elliptic control problem
• The convergence of an interior point method for an elliptic control problem with mixed control-state constraints
• Generalized Newton and NCP- methods: convergence, regularity, actions
• Function space interior point methods for PDE constrained optimization
• Error estimates for linear-quadratic control problems with control constraints
• Interior Point Methods in Function Space
• Inexact Central Path Following Algorithms for Optimal Control Problems
• An adaptive multilevel approach to parabolic equations III. 2D error estimation and multilevel preconditioning
• Elliptic Partial Differential Equations of Second Order
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Superconvergence Properties of Optimal Control Problems

This page was built for publication: A control reduced primal interior point method for a class of control constrained optimal control problems