Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints

Axel Kröner; Karl Kunisch; Boris Vexler

doi:10.1137/090766541

Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/090766541 ◽

2011 ◽

Vol 49 (2) ◽

pp. 830-858 ◽

Cited By ~ 28

Author(s):

Axel Kröner ◽

Karl Kunisch ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Wave Equation ◽

Control Constraints ◽

Newton Methods ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems

Numerische Mathematik ◽

10.1007/s00211-007-0134-6 ◽

2008 ◽

Vol 108 (4) ◽

pp. 571-603 ◽

Cited By ~ 13

Author(s):

M. Hintermüller ◽

F. Tröltzsch ◽

I. Yousept

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Newton Methods ◽

Mesh Independence ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Semismooth Newton Methods for Time-Optimal Control for a Class of ODEs

SIAM Journal on Control and Optimization ◽

10.1137/090753905 ◽

2010 ◽

Vol 48 (6) ◽

pp. 3997-4013 ◽

Cited By ~ 21

Author(s):

Kazufumi Ito ◽

Karl Kunisch

Keyword(s):

Optimal Control ◽

Time Optimal Control ◽

Newton Methods ◽

Semismooth Newton ◽

Time Optimal ◽

Semismooth Newton Methods

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Constrained optimal control of Navier–Stokes flow by semismooth Newton methods

Systems & Control Letters ◽

10.1016/s0167-6911(02)00274-8 ◽

2003 ◽

Vol 48 (3-4) ◽

pp. 297-311 ◽

Cited By ~ 29

Author(s):

Michael Ulbrich

Keyword(s):

Optimal Control ◽

Stokes Flow ◽

Navier Stokes ◽

Newton Methods ◽

Constrained Optimal Control ◽

Semismooth Newton ◽

Semismooth Newton Methods

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8. Semismooth Newton Methods I

Lagrange Multiplier Approach to Variational Problems and Applications ◽

10.1137/1.9780898718614.ch8 ◽

2008 ◽

pp. 215-252

Keyword(s):

Newton Methods ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Semismooth Newton methods with domain decomposition for American options

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.12.046 ◽

2018 ◽

Vol 337 ◽

pp. 37-50 ◽

Cited By ~ 7

Author(s):

Hong-Jie Zhao ◽

Haijian Yang

Keyword(s):

Domain Decomposition ◽

American Options ◽

Newton Methods ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Semismooth Newton Methods for an Optimal Boundary Control Problem of Wave Equations

Recent Advances in Optimization and its Applications in Engineering ◽

10.1007/978-3-642-12598-0_33 ◽

2010 ◽

pp. 389-398 ◽

Cited By ~ 1

Author(s):

Axel Kröner ◽

Karl Kunisch ◽

Boris Vexler

Keyword(s):

Control Problem ◽

Boundary Control ◽

Wave Equations ◽

Newton Methods ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

10.1137/1.9781611970692 ◽

2011 ◽

Cited By ~ 76

Author(s):

Michael Ulbrich

Keyword(s):

Variational Inequalities ◽

Constrained Optimization ◽

Optimization Problems ◽

Function Spaces ◽

Newton Methods ◽

Constrained Optimization Problems ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Frictional Contact Algorithms Based on Semismooth Newton Methods

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods - Applied Optimization ◽

10.1007/978-1-4757-6388-1_5 ◽

1998 ◽

pp. 81-116 ◽

Cited By ~ 10

Author(s):

Peter W. Christensen ◽

Jong-Shi Pang

Keyword(s):

Frictional Contact ◽

Newton Methods ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Global convergence of damped semismooth Newton methods for ℓ 1 Tikhonov regularization

Inverse Problems ◽

10.1088/0266-5611/31/2/025005 ◽

2015 ◽

Vol 31 (2) ◽

pp. 025005 ◽

Cited By ~ 2

Author(s):

Esther Hans ◽

Thorsten Raasch

Keyword(s):

Global Convergence ◽

Tikhonov Regularization ◽

Newton Methods ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Semi-Smooth Newton Methods for Optimal Control of the Dynamical Lamé System with Control Constraints

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2013.772423 ◽

2013 ◽

Vol 34 (7) ◽

pp. 741-769 ◽

Cited By ~ 4

Author(s):

Axel Kröner

Keyword(s):

Optimal Control ◽

Control Constraints ◽

Newton Methods ◽

Lamé System ◽

Lame System

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