Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation

Ira Neitzel; Johannes Pfefferer; Arnd Rösch

doi:10.1137/140960645

Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation

SIAM Journal on Control and Optimization ◽

10.1137/140960645 ◽

2015 ◽

Vol 53 (2) ◽

pp. 874-904 ◽

Cited By ~ 14

Author(s):

Ira Neitzel ◽

Johannes Pfefferer ◽

Arnd Rösch

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

State Equation ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.2129 ◽

2017 ◽

Vol 25 (1) ◽

pp. e2129

Author(s):

Wei Gong ◽

Zhiyu Tan ◽

Shuo Zhang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems

Discussiones Mathematicae Differential Inclusions Control and Optimization ◽

10.7151/dmdico.1121 ◽

2010 ◽

Vol 30 (2) ◽

pp. 221 ◽

Cited By ~ 6

Author(s):

Pedro Merino ◽

Ira Neitzel ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0050-3 ◽

2015 ◽

Vol 66 (3) ◽

pp. 968-986 ◽

Cited By ~ 1

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Jian Hou ◽

Haihong Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Stabilized Mixed Finite Element

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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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Two‐grid methods for – P 1 mixed finite element approximation of general elliptic optimal control problems with low regularity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22471 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1184-1202

Author(s):

Tianliang Hou ◽

Haitao Leng ◽

Tian Luan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

General Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A direct approach to the finite element solution of elliptic optimal control problems

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199905)15:3<371::aid-num7>3.0.co;2-x ◽

1999 ◽

Vol 15 (3) ◽

pp. 371-388 ◽

Cited By ~ 5

Author(s):

Dan Givoli

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Direct Approach ◽

Finite Element Solution ◽

Control Problems ◽

Element Solution ◽

Elliptic Optimal Control Problems ◽

Elliptic 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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Adaptive finite element method for elliptic optimal control problems: convergence and optimality

Numerische Mathematik ◽

10.1007/s00211-016-0827-9 ◽

2016 ◽

Vol 135 (4) ◽

pp. 1121-1170 ◽

Cited By ~ 13

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Adaptive Finite Element Method ◽

Control Problems ◽

Adaptive Finite Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Convergence And Optimality

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Erratum to: A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0086-4 ◽

2015 ◽

Vol 66 (3) ◽

pp. 987-990

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Jian Hou ◽

Haihong Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Stabilized Mixed Finite Element

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A New Conical Regularization for Some Optimization and Optimal Control Problems: Convergence Analysis and Finite Element Discretization

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2013.806546 ◽

2013 ◽

Vol 34 (8) ◽

pp. 861-895 ◽

Cited By ~ 6

Author(s):

Akhtar A. Khan ◽

Miguel Sama

Keyword(s):

Optimal Control ◽

Finite Element ◽

Convergence Analysis ◽

Optimal Control Problems ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Optimization And Optimal Control

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