A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space

SIAM Journal on Control and Optimization ◽

10.1137/120889137 ◽

2013 ◽

Vol 51 (4) ◽

pp. 2788-2808 ◽

Author(s):

Konstantin Pieper ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Measure Space ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

A Priori Error Analysis ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

Download Full-text

A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations

Computational Optimization and Applications ◽

10.1007/s10589-013-9601-4 ◽

2013 ◽

Vol 57 (3) ◽

pp. 703-729 ◽

Author(s):

Tuğba Akman ◽

Hamdullah Yücel ◽

Bülent Karasözen

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Diffusion Equations ◽

Control Problems ◽

Interior Penalty ◽

Convection Diffusion ◽

A Priori Error Analysis

Download Full-text

A Priori Error Estimates for Least-Squares Mixed Finite Element Approximation of Elliptic Optimal Control Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1406-m4396 ◽

2015 ◽

Vol 33 (2) ◽

pp. 113-127 ◽

Author(s):

Hongfei Fu and Hongxing Rui

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

Download Full-text

A priori and posteriori error estimates of Legendre Galerkin spectral methods for general elliptic optimal control problems

Journal of Mathematical Inequalities ◽

10.7153/jmi-2020-14-65 ◽

2020 ◽

pp. 989-1006

Author(s):

Zuli ng Lu ◽

ei Huang ◽

Lin Li ◽

Fei Cai ◽

in Yang

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Spectral Methods ◽

Optimal Control Problems ◽

A Priori ◽

Posteriori Error ◽

Control Problems ◽

General Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

Download Full-text

A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems

Computational Mathematics and Modeling ◽

10.1007/s10598-013-9164-3 ◽

2013 ◽

Vol 24 (1) ◽

pp. 114-135 ◽

Author(s):

Zuliang Lu ◽

Yanping Chen

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

Download Full-text

A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control

SIAM Journal on Control and Optimization ◽

10.1137/110840133 ◽

2014 ◽

Vol 52 (1) ◽

pp. 97-119 ◽

Author(s):

Wei Gong ◽

Michael Hinze ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

A Priori Error Analysis ◽

Parabolic Optimal Control

Download Full-text

A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/100809611 ◽

2011 ◽

Vol 49 (5) ◽

pp. 2183-2211 ◽

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

A Priori Error Analysis ◽

Nicolson Scheme ◽

Parabolic Optimal Control ◽

Download Full-text

A FrameWork for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications toC0IP Methods

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2015.1068182 ◽

2015 ◽

Vol 36 (11) ◽

pp. 1388-1419 ◽

Author(s):

Sudipto Chowdhury ◽

Thirupathi Gudi ◽

A. K. Nandakumaran

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Discontinuous Finite Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

Download Full-text

A priori error estimates of mixed methods for bilinear elliptic optimal control problems with integral constraint

2011 6th IEEE Joint International Information Technology and Artificial Intelligence Conference ◽

10.1109/itaic.2011.6030162 ◽

2011 ◽

Author(s):

Zuliang Lu ◽

Xiao Huang

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Integral Constraint ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

Download Full-text

A priori error analysis of mixed methods for nonlinear quadratic optimal control problems

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080208030074 ◽

2008 ◽

Vol 29 (3) ◽

pp. 164-174 ◽

Author(s):

Z. L. Lu ◽

Y. P. Chen ◽

H. W. Zhang

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

A Priori Error Analysis ◽

Quadratic Optimal Control

Download Full-text

A priori error estimates for elliptic optimal control problems with a bilinear state equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.01.023 ◽

2009 ◽

Vol 230 (2) ◽

pp. 781-802 ◽

Author(s):

Axel Kröner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

State Equation ◽

A Priori Error Estimates ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

Download Full-text