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

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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 ◽

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

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

SIAM Journal on Control and Optimization ◽

10.1137/18m1166948 ◽

2019 ◽

Vol 57 (1) ◽

pp. 129-162 ◽

Cited By ~ 1

Author(s):

Lucas Bonifacius ◽

Konstantin Pieper ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Time Optimal ◽

Priori Error Estimates

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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 ◽

Cited By ~ 78

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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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/070694028 ◽

2008 ◽

Vol 47 (3) ◽

pp. 1301-1329 ◽

Cited By ~ 91

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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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 ◽

Space Time ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parabolic Optimal Control

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A priori error estimates for a mixed finite element discretization of the Richards’ equation

Numerische Mathematik ◽

10.1007/s00211-003-0509-2 ◽

2004 ◽

Vol 98 (2) ◽

pp. 353-370 ◽

Cited By ~ 24

Author(s):

Eckhard Schneid ◽

Peter Knabner ◽

Florin Radu

Keyword(s):

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

A Priori ◽

A Priori Error Estimates ◽

Richards Equation ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates

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A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system

Mathematical Control & Related Fields ◽

10.3934/mcrf.2021014 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Marita Holtmannspötter ◽

Arnd Rösch ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

A Priori ◽

Finite Element Discretization ◽

Element Discretization ◽

Ode System ◽

Priori Error Estimates

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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

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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

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A Priori Error Estimates for the Finite Element Discretization of Elliptic Parameter Identification Problems with Pointwise Measurements

SIAM Journal on Control and Optimization ◽

10.1137/040611100 ◽

2005 ◽

Vol 44 (5) ◽

pp. 1844-1863 ◽

Cited By ~ 35

Author(s):

R. Rannacher ◽

B. Vexler

Keyword(s):

Finite Element ◽

Parameter Identification ◽

Error Estimates ◽

A Priori ◽

A Priori Error Estimates ◽

Identification Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parameter Identification Problems ◽

Priori Error Estimates

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