Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations

ETNA - Electronic Transactions on Numerical Analysis ◽

10.1553/etna_vol48s407 ◽

2018 ◽

Vol 48 ◽

pp. 407-434

Author(s):

Hamdullah Yücel ◽

Martin Stoll ◽

Peter Benner

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Optimal Control Problems ◽

Galerkin Approximation ◽

Diffusion Equations ◽

Control Problems ◽

Convection Diffusion

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Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations

Computational Optimization and Applications ◽

10.1007/s10589-014-9691-7 ◽

2014 ◽

Vol 62 (1) ◽

pp. 291-321 ◽

Author(s):

Hamdullah Yücel ◽

Peter Benner

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Optimal Control Problems ◽

Diffusion Equations ◽

Control Problems ◽

Galerkin Methods ◽

Constrained Optimal Control ◽

Convection Diffusion

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A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations

Computational Optimization and Applications ◽

10.1007/s10589-013-9601-4 ◽

2013 ◽

Vol 57 (3) ◽

pp. 703-729 ◽

Author(s):

Tuğba Akman ◽

Hamdullah Yücel ◽

Bülent Karasözen

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Diffusion Equations ◽

Control Problems ◽

Interior Penalty ◽

Convection Diffusion ◽

A Priori Error Analysis

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Local discontinuous galerkin approximation of convection-dominated diffusion optimal control problems with control constraints

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21815 ◽

2013 ◽

Vol 30 (1) ◽

pp. 339-360 ◽

Author(s):

Zhaojie Zhou ◽

Xiaoming Yu ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Optimal Control Problems ◽

Galerkin Approximation ◽

Control Problems ◽

Control Constraints ◽

Local Discontinuous Galerkin ◽

Convection Dominated

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A posteriori error estimates for discontinuous Galerkin approximation of non-stationary convection-diffusion optimal control problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1085031 ◽

2015 ◽

Vol 93 (12) ◽

pp. 2106-2123 ◽

Author(s):

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Galerkin Approximation ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Stationary Convection ◽

A Posteriori Error ◽

Convection Diffusion

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A discontinuous Galerkin method for optimal control problems governed by a system of convection–diffusion PDEs with nonlinear reaction terms

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.09.006 ◽

2015 ◽

Vol 70 (10) ◽

pp. 2414-2431 ◽

Author(s):

Hamdullah Yücel ◽

Martin Stoll ◽

Peter Benner

Keyword(s):

Optimal Control ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Optimal Control Problems ◽

Control Problems ◽

Convection Diffusion ◽

Nonlinear Reaction

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A posteriori error estimates for optimal control problems constrained by convection-diffusion equations

Frontiers of Mathematics in China ◽

10.1007/s11464-015-0456-0 ◽

2015 ◽

Vol 11 (1) ◽

pp. 55-75

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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A mass-conservative characteristic FE scheme for optimal control problems governed by convection–diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2012.05.019 ◽

2012 ◽

Vol 241-244 ◽

pp. 82-92 ◽

Author(s):

Hongfei Fu ◽

Hongxing Rui

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Diffusion Equations ◽

Control Problems ◽

Convection Diffusion

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A characteristic finite element method for optimal control problems governed by convection–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.07.010 ◽

2010 ◽

Vol 235 (3) ◽

pp. 825-836 ◽

Author(s):

Hongfei Fu

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Diffusion Equations ◽

Control Problems ◽

Convection Diffusion ◽

Characteristic Finite Element ◽

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A non-overlapping DDM combined with the characteristic method for optimal control problems governed by convection–diffusion equations

Computational Optimization and Applications ◽

10.1007/s10589-018-0008-0 ◽

2018 ◽

Vol 71 (1) ◽

pp. 273-306 ◽

Author(s):

Tongjun Sun ◽

Keying Ma

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Diffusion Equations ◽

Control Problems ◽

Characteristic Method ◽

Convection Diffusion

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A posteriori error estimates for continuous interior penalty Galerkin approximation of transient convection diffusion optimal control problems

Boundary Value Problems ◽

10.1186/s13661-014-0207-2 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Zhaojie Zhou ◽

Hongfei Fu

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Galerkin Approximation ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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