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

DOI10.1080/00207160.2015.1085031zbMath1355.65161OpenAlexW2253833194MaRDI QIDQ2958278

Zhaojie Zhou

Publication date: 1 February 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1085031

zbMATH Keywords

discontinuous Galerkin methodoptimal control problema posteriori error estimateelliptic reconstructionnon-stationary convection-diffusion equations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

A mixed discontinuous Galerkin approximation of time dependent convection diffusion optimal control problem ⋮ Convergence and quasi-optimality of an adaptive finite element method for elliptic Robin boundary control problem ⋮ Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained ⋮ The optimal dividend payout model with terminal values and its application ⋮ Time-stepping discontinuous Galerkin approximation of optimal control problem governed by time fractional diffusion equation ⋮ Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation

Cites Work

• Crank--Nicolson finite element methods using symmetric stabilization with an application to optimal control problems subject to transient advection--diffusion equations
• A priori error estimates for optimal control problems governed by transient advection-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
• A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations
• A variational discretization concept in control constrained optimization: The linear-quadratic case
• Investigation of commutative properties of discontinuous Galerkin methods in PDE constrained optimal control problems
• Estimation of penalty parameters for symmetric interior penalty Galerkin methods
• Optimal control of the convection-diffusion equation using stabilized finite element methods
• A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation
• Maximum Norm A Posteriori Error Estimation for Parabolic Problems Using Elliptic Reconstructions
• Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems
• Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
• A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems
• Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
• Theoretical and Numerical Analysis of an Optimal Control Problem Related to Wastewater Treatment
• Adaptive characteristic finite element approximation of convection–diffusion optimal control problems
• Ritz-Volterra reconstructions and a posteriori error analysis of finite element method for parabolic integro-differential equations
• Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints

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