A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations

DOI10.1007/s11464-008-0029-6zbMath1158.65046OpenAlexW2224304666MaRDI QIDQ2519355

Zhaojie Zhou, Ning-Ning Yan

Publication date: 26 January 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-008-0029-6

zbMATH Keywords

numerical examplesa posteriori error estimateconstrained optimal control problemedge stabilization Galerkin methodconvection dominated diffusion equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Superconvergence analysis of fully discrete finite element methods for semilinear parabolic optimal control problems, A posteriori error estimates for continuous interior penalty Galerkin approximation of transient convection diffusion optimal control problems, Residual type a posteriori error estimates for the time-dependent Poisson-Nernst-Planck equations

Cites Work

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• 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
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A posteriori error estimators for convection-diffusion equations
• A posteriori error estimates for optimal control problems governed by parabolic equations
• A stabilized non-conforming finite element method for incompressible flow
• Optimal control of the convection-diffusion equation using stabilized finite element methods
• Edge stabilization for the generalized Stokes problem: a continuous interior penalty method
• A posteriori error estimates of recovery type for distributed convex optimal control problems
• A Posteriori Error Estimates for Convex Boundary Control Problems
• A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection–diffusion equations
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
• Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
• A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations
• Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
• Finite element methods for the simulation of incompressible powder flow
• A posteriori error estimates for distributed convex optimal control problems