Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization
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Publication:390461
DOI10.1016/j.cam.2013.11.006zbMath1278.49036OpenAlexW2020060524MaRDI QIDQ390461
Bülent Karasözen, Z. Kanar Seymen, Hamdullah Yücel
Publication date: 8 January 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2013.11.006
convection dominated problemsoptimal control problemsstabilized finite elementspointwise inequality constraints
Related Items (5)
An HDG method for distributed control of convection diffusion PDEs ⋮ POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation ⋮ Reduced-order finite element approximation based on POD for the parabolic optimal control problem ⋮ Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations ⋮ A superconvergent HDG method for distributed control of convection diffusion PDEs
Uses Software
Cites Work
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- Crank--Nicolson finite element methods using symmetric stabilization with an application to optimal control problems subject to transient advection--diffusion equations
- Solving optimal control problems for the unsteady Burgers equation in COMSOL multiphysics
- A priori error estimates for optimal control problems governed by transient advection-diffusion equations
- A characteristic finite element method for optimal control problems governed by convection-diffusion equations
- A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation
- Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Optimal control of the convection-diffusion equation using stabilized finite element methods
- Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems
- Distributed Optimal Control of Diffusion-Convection-Reaction Equations Using Discontinuous Galerkin Methods
- Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
- A Smooth Regularization of the Projection Formula for Constrained Parabolic Optimal Control Problems
- Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
- Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations
- Mesh-Independence for an Augmented Lagrangian-SQP Method in Hilbert Spaces
- Optimal control and numerical adaptivity for advection–diffusion equations
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