Space‐time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach

Ram Manohar; Rajen Kumar Sinha

doi:10.1002/oca.2618

Space‐time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach

Optimal Control Applications and Methods ◽

10.1002/oca.2618 ◽

2020 ◽

Vol 41 (5) ◽

pp. 1543-1567

Author(s):

Ram Manohar ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Finite Element Approximation ◽

Posteriori Error ◽

Control Problems ◽

Element Approximation ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Parabolic Optimal Control

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A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.09.015 ◽

2019 ◽

Vol 136 ◽

pp. 23-45 ◽

Cited By ~ 1

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Measure Data ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Posteriori Error Analysis ◽

Parabolic Optimal Control

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A Posteriori Error Analysis of Optimal Control Problems with Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/130909251 ◽

2014 ◽

Vol 52 (3) ◽

pp. 1832-1861 ◽

Cited By ~ 35

Author(s):

Kristina Kohls ◽

Arnd Rösch ◽

Kunibert G. Siebert

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

Control Constraints ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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A Posteriori Error Analysis of Two-Step Backward Differentiation Formula Finite Element Approximation for Parabolic Interface Problems

Journal of Scientific Computing ◽

10.1007/s10915-016-0203-z ◽

2016 ◽

Vol 69 (1) ◽

pp. 406-429 ◽

Cited By ~ 5

Author(s):

Jhuma Sen Gupta ◽

Rajen K. Sinha ◽

G. M. M. Reddy ◽

Jinank Jain

Keyword(s):

Finite Element Approximation ◽

Posteriori Error ◽

Interface Problems ◽

Element Approximation ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Differentiation Formula ◽

A Posteriori Error ◽

Backward Differentiation Formula ◽

Posteriori Error Analysis

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POD a-posteriori error analysis for optimal control problems with mixed control-state constraints

Computational Optimization and Applications ◽

10.1007/s10589-014-9636-1 ◽

2014 ◽

Vol 58 (3) ◽

pp. 619-644 ◽

Cited By ~ 6

Author(s):

Martin Gubisch ◽

Stefan Volkwein

Keyword(s):

State Constraints ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Mixed Control ◽

Posteriori Error Analysis ◽

Control State

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Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems

Numerical Algebra Control and Optimization ◽

10.3934/naco.2012.2.465 ◽

2012 ◽

Vol 2 (3) ◽

pp. 465-485 ◽

Cited By ~ 6

Author(s):

Georg Vossen ◽

Stefan Volkwein

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Reduction Techniques ◽

Quadratic Optimal Control ◽

Posteriori Error Analysis

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Residual-based a posteriori error control for Space-time finite element approximations of parabolic optimal control problems

PAMM ◽

10.1002/pamm.201410419 ◽

2014 ◽

Vol 14 (1) ◽

pp. 877-878

Author(s):

Wei Gong ◽

Michael Hinze ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Control ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Parabolic Optimal Control

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A priori and a posteriori error estimates of H 1 -Galerkin mixed finite element method for parabolic optimal control problems

Optimal Control Applications and Methods ◽

10.1002/oca.2312 ◽

2017 ◽

Vol 38 (6) ◽

pp. 1056-1070 ◽

Cited By ~ 3

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

A Posteriori Error Estimates ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Parabolic Optimal Control

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Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems

Advances in Computational Mathematics ◽

10.1007/s10444-021-09864-9 ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Haitao Leng ◽

Yanping Chen

Keyword(s):

Error Analysis ◽

Boundary Control ◽

Neumann Boundary ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Boundary Control Problems ◽

Posteriori Error Analysis

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Elliptic Reconstruction and a Posteriori Error Estimates for Fully Discrete Semilinear Parabolic Optimal Control Problems

Journal of Computational Mathematics ◽

10.4208/jcm.2009-m2019-0194 ◽

2021 ◽

Vol 39 (5) ◽

pp. 777-806

Author(s):

RamManohar & RajenKumar Sinha

Keyword(s):

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Fully Discrete ◽

Elliptic Reconstruction ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

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A Posteriori Error Estimates of Mixed Methods for Parabolic Optimal Control Problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.492046 ◽

2010 ◽

Vol 31 (10) ◽

pp. 1135-1157 ◽

Cited By ~ 10

Author(s):

Yanping Chen ◽

Lingli Liu ◽

Zuliang Lu

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Estimates ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Parabolic Optimal Control

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