A Priori Error Estimates for State-Constrained Semilinear Parabolic Optimal Control Problems

Francesco Ludovici; Ira Neitzel; Winnifried Wollner

doi:10.1007/s10957-018-1311-8

A Priori Error Estimates for State-Constrained Semilinear Parabolic Optimal Control Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1311-8 ◽

2018 ◽

Vol 178 (2) ◽

pp. 317-348

Author(s):

Francesco Ludovici ◽

Ira Neitzel ◽

Winnifried Wollner

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Control Problems ◽

Priori Error Estimates ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

A priori error estimates of variational discretization and semi-discrete mixed methods for general parabolic optimal control problems

2011 International Conference on Electrical and Control Engineering ◽

10.1109/iceceng.2011.6057127 ◽

2011 ◽

Author(s):

Zuliang Lu ◽

Xiao Huang

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Control Problems ◽

Variational Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control

SIAM Journal on Control and Optimization ◽

10.1137/15m1028042 ◽

2016 ◽

Vol 54 (5) ◽

pp. 2403-2435 ◽

Cited By ~ 9

Author(s):

Dmitriy Leykekhman ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

Three Dimensional ◽

A Priori Error Estimates ◽

Control Problems ◽

Priori Error Estimates ◽

Parabolic Optimal Control

Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control

SIAM Journal on Numerical Analysis ◽

10.1137/120885772 ◽

2013 ◽

Vol 51 (5) ◽

pp. 2797-2821 ◽

Cited By ~ 24

Author(s):

Dmitriy Leykekhman ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Control Problems ◽

Priori Error Estimates ◽

Parabolic Optimal Control

Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with a Moving Point Control

Springer INdAM Series - Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs ◽

10.1007/978-3-319-64489-9_13 ◽

2017 ◽

pp. 327-356

Author(s):

Dmitriy Leykekhman ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Control Problems ◽

Point Control ◽

Priori Error Estimates ◽

Parabolic Optimal Control

A PRIORI ERROR ESTIMATES AND SUPERCONVERGENCE PROPERTY OF VARIATIONAL DISCRETIZATION FOR NONLINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS

Journal of applied mathematics & informatics ◽

10.14317/jami.2013.479 ◽

2013 ◽

Vol 31 (3_4) ◽

pp. 479-490 ◽

Cited By ~ 1

Author(s):

Yuelong Tang ◽

Yuchun Hua

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Control Problems ◽

Nonlinear Parabolic ◽

Variational Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_23 ◽

2011 ◽

pp. 445-466

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems

Numerische Mathematik ◽

10.1007/s00211-011-0409-9 ◽

2011 ◽

Vol 120 (2) ◽

pp. 345-386 ◽

Cited By ~ 36

Author(s):

Ira Neitzel ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

A priori error estimates for nonstationary optimal control problems with gradient state constraints

PAMM ◽

10.1002/pamm.201510295 ◽

2015 ◽

Vol 15 (1) ◽

pp. 611-612

Author(s):

Francesco Ludovici ◽

Ira Neitzel ◽

Winnifried Wollner

Keyword(s):

Optimal Control ◽

Error Estimates ◽

State Constraints ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Control Problems ◽

Priori Error Estimates

A priori error estimates of a meshless method for optimal control problems of stochastic elliptic PDEs

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1483022 ◽

2018 ◽

Vol 96 (5) ◽

pp. 1048-1065

Author(s):

Fenglin Huang ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Meshless Method ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Elliptic Pdes ◽

Control Problems ◽

Priori Error Estimates

A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains

Control and Optimization with PDE Constraints ◽

10.1007/978-3-0348-0631-2_11 ◽

2013 ◽

pp. 193-215 ◽

Cited By ~ 2

Author(s):

Winnifried Wollner

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

The State ◽

A Priori Error Estimates ◽

Control Problems ◽

Polygonal Domains ◽

Priori Error Estimates