Direct and Indirect Multiple Shooting for Parabolic Optimal Control Problems

Contributions in Mathematical and Computational Sciences - Multiple Shooting and Time Domain Decomposition Methods ◽

10.1007/978-3-319-23321-5_2 ◽

2015 ◽

pp. 35-67 ◽

Cited By ~ 2

Author(s):

Thomas Carraro ◽

Michael Geiger

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multiple Shooting ◽

Control Problems ◽

Parabolic Optimal Control

Download Full-text

Multiple shooting methods for parabolic optimal control problems with control constraints

PAMM ◽

10.1002/pamm.201510294 ◽

2015 ◽

Vol 15 (1) ◽

pp. 609-610

Author(s):

Thomas Carraro ◽

Michael Geiger

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multiple Shooting ◽

Control Problems ◽

Control Constraints ◽

Shooting Methods ◽

Parabolic Optimal Control

Download Full-text

Indirect Multiple Shooting for Nonlinear Parabolic Optimal Control Problems with Control Constraints

SIAM Journal on Scientific Computing ◽

10.1137/120895809 ◽

2014 ◽

Vol 36 (2) ◽

pp. A452-A481 ◽

Cited By ~ 9

Author(s):

T. Carraro ◽

M. Geiger ◽

R. Rannacher

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multiple Shooting ◽

Control Problems ◽

Control Constraints ◽

Nonlinear Parabolic ◽

Parabolic Optimal Control

Download Full-text

The RSS-like iteration method for block two-by-two linear systems from time-periodic parabolic optimal control problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126477 ◽

2021 ◽

Vol 410 ◽

pp. 126477

Author(s):

Min-Li Zeng

Keyword(s):

Optimal Control ◽

Linear Systems ◽

Iteration Method ◽

Optimal Control Problems ◽

Control Problems ◽

Parabolic Optimal Control ◽

Time Periodic

Download Full-text

A posteriori $$L^{\infty }(L^{\infty })$$-error estimates for finite-element approximations to parabolic optimal control problems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01682-5 ◽

2021 ◽

Vol 40 (8) ◽

Author(s):

Ram Manohar ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

A Posteriori ◽

Finite Element Approximations ◽

Parabolic Optimal Control

Download Full-text

Error Estimates for Parabolic Optimal Control Problems with Control Constraints

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1203 ◽

2004 ◽

pp. 353-376 ◽

Cited By ~ 28

Author(s):

A. Rösch

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Parabolic Optimal Control

Download Full-text

Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold

SIAM Journal on Numerical Analysis ◽

10.1137/151004744 ◽

2016 ◽

Vol 54 (2) ◽

pp. 1229-1262 ◽

Cited By ~ 5

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Dimensional Manifold ◽

Finite Element Approximations ◽

Parabolic Optimal Control ◽

Lower Dimensional

Download Full-text

Parabolic optimal control problems with a quintic B-spline dynamic model

Nonlinear Dynamics ◽

10.1007/s11071-015-1896-5 ◽

2015 ◽

Vol 80 (1-2) ◽

pp. 653-667 ◽

Cited By ~ 3

Author(s):

Alireza Nazemi ◽

Farzaneh Kheyrinataj

Keyword(s):

Optimal Control ◽

Dynamic Model ◽

Optimal Control Problems ◽

Control Problems ◽

B Spline ◽

Parabolic Optimal Control

Download Full-text

Crank--Nicolson Time Stepping and Variational Discretization of Control-Constrained Parabolic Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/14099680x ◽

2015 ◽

Vol 53 (3) ◽

pp. 1182-1198 ◽

Cited By ~ 3

Author(s):

Nikolaus von Daniels ◽

Michael Hinze ◽

Morten Vierling

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Time Stepping ◽

Variational Discretization ◽

Parabolic Optimal Control ◽

Crank Nicolson

Download Full-text

A rational deferred correction approach to parabolic optimal control problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx046 ◽

2017 ◽

Vol 38 (4) ◽

pp. 1861-1892 ◽

Cited By ~ 2

Author(s):

Stefan Güttel ◽

John W Pearson

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Deferred Correction ◽

Parabolic Optimal Control

Download Full-text

Leapfrog multigrid methods for parabolic optimal control problems

The 27th Chinese Control and Decision Conference (2015 CCDC) ◽

10.1109/ccdc.2015.7161680 ◽

2015 ◽

Cited By ~ 2

Author(s):

Buyang Li ◽

Jun Liu ◽

Mingqing Xiao

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multigrid Methods ◽

Control Problems ◽

Parabolic Optimal Control

Download Full-text