Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints

DOI10.1080/02331934.2013.801474zbMath1302.65258OpenAlexW2047634453MaRDI QIDQ5413877

Bülent Karasözen, Hamdullah Yücel

Publication date: 2 May 2014

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2013.801474

zbMATH Keywords

discontinuous Galerkin methoda posteriori error estimatescontrol constraintsoptimal control problemsconvection dominated equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

Related Items (11)

Optimal control of convective FitzHugh-Nagumo equation ⋮ Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems ⋮ An interpolation method for the optimal control problem governed by the elliptic convection–diffusion equation ⋮ A posteriori error estimates for discontinuous Galerkin approximation of non-stationary convection-diffusion optimal control problems ⋮ Goal-oriented a posteriori error estimation for Dirichlet boundary control problems ⋮ Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations ⋮ Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations ⋮ Reduced order optimal control of the convective FitzHugh-Nagumo equations ⋮ A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms ⋮ Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems ⋮ Space-Time Discontinuous Galerkin Methods for Optimal Control Problems Governed by Time Dependent Diffusion-Convection-Reaction Equations

Uses Software

• iFEM

Cites Work

• Unnamed Item
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• Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
• Ana posteriorierror analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Primal-Dual Strategy for Constrained Optimal Control Problems
• Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
• Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
• A posteriori error estimators for a class of variational inequalities

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