A posteriori error estimates for continuous interior penalty Galerkin approximation of transient convection diffusion optimal control problems

DOI10.1186/s13661-014-0207-2zbMath1305.65163OpenAlexW2159546985WikidataQ59323220 ScholiaQ59323220MaRDI QIDQ481475

Zhaojie Zhou, Hongfei Fu

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0207-2

zbMATH Keywords

algorithma posteriori error estimatemesh refinementelliptic reconstructioncontinuous interior penalty Galerkin methodtransient convection diffusion optimal control problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (1)

Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Crank--Nicolson finite element methods using symmetric stabilization with an application to optimal control problems subject to transient advection--diffusion equations
• Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
• A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation
• A posteriori error estimators for convection-diffusion equations
• A variational discretization concept in control constrained optimization: The linear-quadratic case
• Optimal control of the convection-diffusion equation using stabilized finite element methods
• A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations
• The Effect of Anisotropic Mesh Adaptation on PDE-Constrained Optimal Control Problems
• Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
• Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• 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
• Optimal control and numerical adaptivity for advection–diffusion equations

This page was built for publication: A posteriori error estimates for continuous interior penalty Galerkin approximation of transient convection diffusion optimal control problems