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 ◽

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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

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

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_77 ◽

2008 ◽

pp. 645-652

Author(s):

D. Meidner ◽

B. Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parabolic Optimal Control

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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

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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

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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

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Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains

International Series of Numerical Mathematics - Trends in PDE Constrained Optimization ◽

10.1007/978-3-319-05083-6_26 ◽

2014 ◽

pp. 421-435

Author(s):

Thomas G. Flaig ◽

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Nonsmooth Domains ◽

Nicolson Scheme ◽

Parabolic Optimal Control ◽

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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 ◽

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 ◽

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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 ◽

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

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A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimal Control Problems with Measure Data

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2019.1615948 ◽

2019 ◽

Vol 41 (2) ◽

pp. 158-191

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

A Priori ◽

Measure Data ◽

Control Problems ◽

Finite Element Discretizations ◽

Priori Error Estimates ◽

Parabolic Optimal Control ◽

Element Discretizations

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/070694016 ◽

2008 ◽

Vol 47 (3) ◽

pp. 1150-1177 ◽

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Control Constraints ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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