Local discontinuous galerkin approximation of convection‐dominated diffusion optimal control problems with control constraints
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[1] J. Lions. Optimal Control of Systems Governed by Partial Differential Equations , 1971 .
[2] Ivo Babuška,et al. The optimal convergence rate of the p-version of the finite element method , 1987 .
[3] M. Stynes,et al. Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems , 1996 .
[4] Chi-Wang Shu,et al. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems , 1998 .
[5] Aurea Martínez,et al. Theoretical and Numerical Analysis of an Optimal Control Problem Related to Wastewater Treatment , 2000, SIAM J. Control. Optim..
[6] Ilaria Perugia,et al. An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems , 2000, SIAM J. Numer. Anal..
[7] S. Scott Collis,et al. Analysis of the Streamline Upwind/Petrov Galerkin Method Applied to the Solution of Optimal Control Problems ∗ , 2002 .
[8] Jiang Zhu,et al. A mathematical formulation for optimal control of air pollution , 2003 .
[9] Martin Stynes,et al. Steady-state convection-diffusion problems , 2005, Acta Numerica.
[10] Michael Hinze,et al. A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case , 2005, Comput. Optim. Appl..
[11] Alfio Quarteroni,et al. Optimal Control and Numerical Adaptivity for Advection-Diffusion Equations , 2005 .
[12] Roland Becker,et al. Optimal control of the convection-diffusion equation using stabilized finite element methods , 2007, Numerische Mathematik.
[13] Zhaojie,et al. A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation , 2008 .
[14] Roland Glowinski,et al. A Numerical Method for a Non-Smooth Advection-Diffusion Problem Arising in Sand Mechanics , 2008 .
[15] Ningning Yan,et al. A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations , 2009, J. Sci. Comput..
[16] Wenbin Liu,et al. DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD WITH INTERIOR PENALTIES FOR CONVECTION DIFFUSION OPTIMAL CONTROL PROBLEM , 2009 .
[17] Zhaojie,et al. VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS , 2009 .
[18] Ningning Yan,et al. A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation , 2009 .
[19] Zhaojie Zhou,et al. THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY CONVECTION DIFFUSION EQUATIONS , 2010 .
[20] Matthias Heinkenschloss,et al. Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems , 2010, SIAM J. Numer. Anal..
[21] Hans-Görg Roos,et al. Numerical Analysis of a System of Singularly Perturbed Convection-Diffusion Equations Related to Optimal Control , 2011 .
[22] Yuan Li,et al. Error analysis for optimal control problem governed by convection diffusion equations: DG method , 2011, J. Comput. Appl. Math..
[23] Hans-Görg Roos,et al. Robust Numerical Methods for Singularly Perturbed Differential Equations: A Survey Covering 2008–2012 , 2012 .
[24] Dmitriy Leykekhman,et al. Investigation of Commutative Properties of Discontinuous Galerkin Methods in PDE Constrained Optimal Control Problems , 2012, J. Sci. Comput..
[25] R. Hoppe,et al. Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints , 2012 .
[26] Matthias Heinkenschloss,et al. Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems , 2012, SIAM J. Numer. Anal..
[27] Bülent Karasözen,et al. Distributed Optimal Control of Diffusion-Convection-Reaction Equations Using Discontinuous Galerkin Methods , 2013 .
[28] Hongxing Rui,et al. Adaptive characteristic finite element approximation of convection–diffusion optimal control problems , 2013 .