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

Lucas Bonifacius; Konstantin Pieper; Boris Vexler

doi:10.1137/18m1166948

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

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 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 and superconvergence of splitting positive definite mixed finite element methods for pseudo-hyperbolic integro-differential optimal control problems

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20200102 ◽

2020 ◽

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Positive Definite ◽

Control Problems ◽

Priori Error Estimates

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New elliptic projections and a priori error estimates of H 1 -Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.036 ◽

2017 ◽

Vol 311 ◽

pp. 29-46 ◽

Cited By ~ 1

Author(s):

Tianliang Hou ◽

Jiaqi Zhang ◽

Yanzhong Li ◽

Yueting Yang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Differential Equations ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Control Problems ◽

Priori Error Estimates

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A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-95 ◽

2012 ◽

Vol 2012 (1) ◽

Author(s):

Zuliang Lu ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Control Problems ◽

Variational 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 and Superconvergence of Splitting Positive Definite Mixed Finite Element Methods for Pseudo-Hyperbolic Integro-Differential Optimal Control Problems

Numerical Analysis and Applications ◽

10.1134/s1995423920010024 ◽

2020 ◽

Vol 13 (1) ◽

pp. 17-33

Author(s):

C. Xu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Positive Definite ◽

Control Problems ◽

Priori Error Estimates

Download Full-text