Karl Kunisch

Works (7)

Updated: July 5th, 2023 15:58

2011 journal article

KARUSH-KUHN-TUCKER CONDITIONS FOR NONSMOOTH MATHEMATICAL PROGRAMMING PROBLEMS IN FUNCTION SPACES

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 49(5), 2133–2154.

By: K. Ito* & K. Kunisch*

author keywords: KKT conditions; nonsmooth optimization; necessary optimality
TL;DR: Apply Lagrange multiplier rules for abstract optimization problems with mixed smooth and convex terms in the cost to minimum norm control problems, and a class of optimal control problems with distributed state constraints and nonsmooth cost. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2011 journal article

MINIMAL EFFORT PROBLEMS AND THEIR TREATMENT BY SEMISMOOTH NEWTON METHODS

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 49(5), 2083–2100.

By: K. Ito* & K. Kunisch*

author keywords: minimum effort control; Lagrange multiplier theory; semismooth Newton method
TL;DR: Well-posedness and superlinear convergence of the semismooth Newton method are proved for linear control systems under a controllability condition and the applicability and feasibility of the proposed method are presented. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Optimal control of parabolic variational inequalities

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 93(4), 329–360.

By: K. Ito n & K. Kunisch*

author keywords: Variational inequalities; Strong solutions; Weak solutions; Unbounded domain; Difference schemes; Optimal control
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Semi-smooth Newton methods for the Signorini problem

APPLICATIONS OF MATHEMATICS, 53(5), 455–468.

By: K. Ito n & K. Kunisch*

author keywords: Signorini problem; variational inequality; semi-smooth Newton method; primal-dual active set strategy
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Optimal control of obstacle problems by H-1-obstacles

APPLIED MATHEMATICS AND OPTIMIZATION, 56(1), 1–17.

By: K. Ito n & K. Kunisch*

author keywords: control of variational inequalities; optimality system; Moreau-Yosida approximation
Source: Web Of Science
Added: August 6, 2018

2004 journal article

The primal-dual active set method for nonlinear optimal control problems with bilateral constraints

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 43(1), 357–376.

By: K. Ito* & K. Kunisch*

author keywords: primal-dual active set method; semismooth Newton method; optimal control; bilateral constraints
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Semi-smooth Newton methods for state-constrained optimal control problems

SYSTEMS & CONTROL LETTERS, 50(3), 221–228.

By: K. Ito n & K. Kunisch*

author keywords: semi-smooth Newton methods; state-constrained optimal control; superlinear convergence; augmented Lagrangians
TL;DR: Convergence of the regularized problems is proved and numerical tests confirm the theoretical results and demonstrate the efficiency of the proposed methodology. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

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