Karl Kunisch

Works (7)

Updated: July 5th, 2023 15:58

2011 article

Karush–Kuhn–Tucker Conditions for Nonsmooth Mathematical Programming Problems in Function Spaces

Ito, K., & Kunisch, K. (2011, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch*

author keywords: KKT conditions; nonsmooth optimization; necessary optimality
topics (OpenAlex): Optimization and Variational Analysis; Differential Equations and Boundary Problems; Contact Mechanics and Variational Inequalities
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 article

Minimal Effort Problems and Their Treatment by Semismooth Newton Methods

Ito, K., & Kunisch, K. (2011, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch*

author keywords: minimum effort control; Lagrange multiplier theory; semismooth Newton method
topics (OpenAlex): Aerospace Engineering and Control Systems; Advanced Optimization Algorithms Research; Optimization and Variational Analysis
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 article

Optimal control of parabolic variational inequalities

Ito, K., & Kunisch, K. (2009, October 9). Journal De Mathématiques Pures Et Appliquées.

By: K. Ito n & K. Kunisch*

author keywords: Variational inequalities; Strong solutions; Weak solutions; Unbounded domain; Difference schemes; Optimal control
topics (OpenAlex): Nonlinear Partial Differential Equations; Advanced Mathematical Modeling in Engineering; Stability and Controllability of Differential Equations
Source: Web Of Science
Added: August 6, 2018

2008 article

Semi-smooth Newton methods for the Signorini problem

Ito, K., & Kunisch, K. (2008, October 1). Applications of Mathematics.

By: K. Ito n & K. Kunisch*

author keywords: Signorini problem; variational inequality; semi-smooth Newton method; primal-dual active set strategy
topics (OpenAlex): Advanced Optimization Algorithms Research; Optimization and Variational Analysis; Numerical methods in inverse problems
Source: Web Of Science
Added: August 6, 2018

2007 article

Optimal Control of Obstacle Problems by H1-Obstacles

Ito, K., & Kunisch, K. (2007, June 1). Applied Mathematics & Optimization.

By: K. Ito n & K. Kunisch*

author keywords: control of variational inequalities; optimality system; Moreau-Yosida approximation
topics (OpenAlex): Optimization and Variational Analysis; Contact Mechanics and Variational Inequalities; Nonlinear Partial Differential Equations
Source: Web Of Science
Added: August 6, 2018

2004 article

The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints

Ito, K., & Kunisch, K. (2004, January 1). SIAM Journal on Control and Optimization.

By: K. Ito* & K. Kunisch*

author keywords: primal-dual active set method; semismooth Newton method; optimal control; bilateral constraints
topics (OpenAlex): Advanced Optimization Algorithms Research; Optimization and Variational Analysis; Iterative Methods for Nonlinear Equations
Source: Web Of Science
Added: August 6, 2018

2003 article

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

Ito, K., & Kunisch, K. (2003, June 21). Systems & Control Letters.

By: K. Ito n & K. Kunisch*

author keywords: semi-smooth Newton methods; state-constrained optimal control; superlinear convergence; augmented Lagrangians
topics (OpenAlex): Aerospace Engineering and Control Systems; Optimization and Variational Analysis; Advanced Optimization Algorithms Research
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

Citation Index includes data from a number of different sources. If you have questions about the sources of data in the Citation Index or need a set of data which is free to re-distribute, please contact us.

Certain data included herein are derived from the Web of Science© and InCites© (2026) of Clarivate Analytics. All rights reserved. You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.