Space-Time Discontinuous Galerkin Methods for Optimal Control Problems Governed by Time Dependent Diffusion-Convection-Reaction Equations

Contributions in Mathematical and Computational Sciences - Multiple Shooting and Time Domain Decomposition Methods ◽

10.1007/978-3-319-23321-5_9 ◽

2015 ◽

pp. 233-261

Author(s):

Tuğba Akman ◽

Bülent Karasözen

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Optimal Control Problems ◽

Time Dependent ◽

Control Problems ◽

Galerkin Methods ◽

Diffusion Convection ◽

Reaction Equations

Download Full-text

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

Download Full-text

Distributed Optimal Control of Diffusion-Convection-Reaction Equations Using Discontinuous Galerkin Methods

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_42 ◽

2012 ◽

pp. 389-397 ◽

Author(s):

H. Yücel ◽

M. Heinkenschloss ◽

B. Karasözen

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Distributed Optimal Control ◽

Diffusion Convection ◽

Reaction Equations

Download Full-text

Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/110826953 ◽

2012 ◽

Vol 50 (4) ◽

pp. 2012-2038 ◽

Author(s):

Dmitriy Leykekhman ◽

Matthias Heinkenschloss

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Local Error ◽

Galerkin Methods ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

Download Full-text

Investigation of Commutative Properties of Discontinuous Galerkin Methods in PDE Constrained Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-012-9582-y ◽

2012 ◽

Vol 53 (3) ◽

pp. 483-511 ◽

Author(s):

Dmitriy Leykekhman

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Galerkin Methods ◽

Constrained Optimal Control

Download Full-text

Distributed optimal control of time-dependent diffusion–convection–reaction equations using space–time discretization

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.11.006 ◽

2014 ◽

Vol 261 ◽

pp. 146-157 ◽

Author(s):

Z. Kanar Seymen ◽

H. Yücel ◽

B. Karasözen

Keyword(s):

Optimal Control ◽

Time Discretization ◽

Time Dependent ◽

Distributed Optimal Control ◽

Diffusion Convection ◽

Reaction Equations

Download Full-text

Variational time discretization methods for optimal control problems governed by diffusion–convection–reaction equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.05.002 ◽

2014 ◽

Vol 272 ◽

pp. 41-56 ◽

Author(s):

Tuğba Akman ◽

Bülent Karasözen

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Time Discretization ◽

Control Problems ◽

Discretization Methods ◽

Diffusion Convection ◽

Reaction Equations

Download Full-text

Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications - ENUMATH 2013 ◽

10.1007/978-3-319-10705-9_8 ◽

2014 ◽

pp. 85-93

Author(s):

Bulent Karasözen ◽

Murat Uzunca ◽

Murat Manguoǧlu

Keyword(s):

Discontinuous Galerkin ◽

Nonlinear Diffusion ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Diffusion Convection ◽

Reaction Equations

Download Full-text

Adaptive discontinuous Galerkin methods for non-linear diffusion–convection–reaction equations

Computers & Chemical Engineering ◽

10.1016/j.compchemeng.2014.05.002 ◽

2014 ◽

Vol 68 ◽

pp. 24-37 ◽

Author(s):

Murat Uzunca ◽

Bülent Karasözen ◽

Murat Manguoğlu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Linear Diffusion ◽

Diffusion Convection ◽

Reaction Equations

Download Full-text

Space-time RBF method for solving hyperbolic optimal control problems

10.1063/5.0026509 ◽

2020 ◽

Author(s):

Tibor Kmet ◽

Maria Kmetova

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems

Download Full-text

Reduction of Storage Requirement by Checkpointing for Time-Dependent Optimal Control Problems in ODEs

Automatic Differentiation: Applications, Theory, and Implementations - Lecture Notes in Computational Science and Engineering ◽

10.1007/3-540-28438-9_9 ◽

2006 ◽

pp. 99-110 ◽

Author(s):

Julia Sternberg ◽

Andreas Griewank

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Time Dependent ◽

Control Problems ◽

Storage Requirement

Download Full-text