Path-following for optimal control of stationary variational inequalities

被引：0

作者：

Karl Kunisch

Daniel Wachsmuth

机构：

[1] Institute for Mathematics and Scientific Computing,Johann Radon Institute for Computational and Applied Mathematics (RICAM)

[2] Austrian Academy of Sciences,undefined

来源：

Computational Optimization and Applications | 2012年 / 51卷

关键词：

Variational inequalities; Optimal control; Regularization; Sensitivity equation; Path-following; Sufficient optimality conditions; Semi-smooth Newton method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Moreau-Yosida based approximation techniques for optimal control of variational inequalities are investigated. Properties of the path generated by solutions to the regularized equations are analyzed. Combined with a semi-smooth Newton method for the regularized problems these lead to an efficient numerical technique.

引用

页码：1345 / 1373

页数：28

共 50 条

[1] Path-following for optimal control of stationary variational inequalities
Kunisch, Karl
Wachsmuth, Daniel
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2012, 51 (03) : 1345 - 1373
[2] CONVERGENCE ANALYSIS OF SMOOTHING METHODS FOR OPTIMAL CONTROL OF STATIONARY VARIATIONAL INEQUALITIES WITH CONTROL CONSTRAINTS
Schiela, Anton
Wachsmuth, Daniel
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2013, 47 (03): : 771 - 787
[3] Several path-following methods for a class of gradient constrained variational inequalities
Hintermueller, M.
Rasch, J.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (10) : 1045 - 1067
[4] SUFFICIENT OPTIMALITY CONDITIONS AND SEMI-SMOOTH NEWTON METHODS FOR OPTIMAL CONTROL OF STATIONARY VARIATIONAL INEQUALITIES
Kunisch, Karl
Wachsmuth, Daniel
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2012, 18 (02) : 520 - 547
[5] Optimal control of parabolic variational inequalities
Ito, Kazufumi
Kunisch, Karl
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2010, 93 (04): : 329 - 360
[6] Optimal control of elliptic variational inequalities
Ito, K
Kunisch, K
APPLIED MATHEMATICS AND OPTIMIZATION, 2000, 41 (03): : 343 - 364
[7] A path-following inexact Newton method for PDE-constrained optimal control in BV
Hafemeyer, D.
Mannel, F.
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2022, 82 (03) : 753 - 794
[8] Optimal stabilization and path-following controls for a bicycle
Sharp, R. S.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2007, 221 (04) : 415 - 428
[9] Nonlinear path-following control of an AUV
Lapierre, Lionel
Soetanto, Didik
OCEAN ENGINEERING, 2007, 34 (11-12) : 1734 - 1744
[10] Optimal control of the obstacle in semilinear variational inequalities
Maïtine Bergouniou
Suzanne Lenhart
Positivity, 2004, 8 : 229 - 242

← 1 2 3 4 5 →