Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations

Konstantinos Chrysafinos; Efthimios N. Karatzas

doi:10.1007/s10589-014-9695-3

Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations

Computational Optimization and Applications ◽

10.1007/s10589-014-9695-3 ◽

2014 ◽

Vol 60 (3) ◽

pp. 719-751 ◽

Cited By ~ 2

Author(s):

Konstantinos Chrysafinos ◽

Efthimios N. Karatzas

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Optimal Control Problems ◽

Stokes Equations ◽

Control Problems ◽

Time Stepping ◽

Symmetric Error Estimates

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Mixed Discontinuous Galerkin Time-Stepping Method for Semilinear Parabolic Optimal Control Problems

Computational Mathematics and Modeling ◽

10.1007/s10598-015-9306-x ◽

2015 ◽

Vol 27 (1) ◽

pp. 95-121

Author(s):

L. Li

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Optimal Control Problems ◽

Control Problems ◽

Time Stepping ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

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A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902397090 ◽

2004 ◽

Vol 42 (3) ◽

pp. 1032-1061 ◽

Cited By ~ 43

Author(s):

Wenbin Liu ◽

Heping Ma ◽

Tao Tang ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Parabolic Equations ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Time Stepping

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Mixed Discontinuous Galerkin Time-Stepping Method for Linear Parabolic Optimal Control Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1211-m4267 ◽

2015 ◽

Vol 33 (2) ◽

pp. 158-178 ◽

Cited By ~ 5

Author(s):

Tianliang Hou and Yanping Chen

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Optimal Control Problems ◽

Control Problems ◽

Time Stepping ◽

Parabolic Optimal Control

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Error estimates of pseudostress-velocity MFEM for optimal control problems governed by stokes equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.09.009 ◽

2019 ◽

Vol 135 ◽

pp. 407-422

Author(s):

Yanping Chen ◽

Haitao Leng ◽

Wendi Yang

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

Stokes Equations ◽

Control Problems

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Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems

Systems & Control Letters ◽

10.1016/j.sysconle.2011.10.003 ◽

2012 ◽

Vol 61 (1) ◽

pp. 143-147 ◽

Cited By ~ 2

Author(s):

J. Frédéric Bonnans ◽

Francisco J. Silva

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Barrier Method ◽

Linear Quadratic ◽

Logarithmic Barrier

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A posteriori $$L^{\infty }(L^{\infty })$$-error estimates for finite-element approximations to parabolic optimal control problems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01682-5 ◽

2021 ◽

Vol 40 (8) ◽

Author(s):

Ram Manohar ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

A Posteriori ◽

Finite Element Approximations ◽

Parabolic Optimal Control

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Error Estimates for Parabolic Optimal Control Problems with Control Constraints

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1203 ◽

2004 ◽

pp. 353-376 ◽

Cited By ~ 28

Author(s):

A. Rösch

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Parabolic Optimal Control

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Second-Order Optimality Conditions and Solution Stability to Optimal Control Problems Governed by Stationary Navier-Stokes Equations

Acta Mathematica Vietnamica ◽

10.1007/s40306-018-00304-3 ◽

2018 ◽

Vol 44 (2) ◽

pp. 431-448 ◽

Cited By ~ 2

Author(s):

Bui Trong Kien

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Solution Stability ◽

Navier Stokes Equations ◽

Second Order Optimality Conditions ◽

Stationary Navier Stokes Equations

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On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-12535-5_4 ◽

2010 ◽

pp. 40-53 ◽

Cited By ~ 6

Author(s):

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Elliptic Pdes ◽

Control Problems ◽

Element Error

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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 ◽

Cited By ~ 3

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 ◽

Crank Nicolson

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