Superconvergence analysis and a posteriori error estimation of a finite element method for an optimal control problem governed by integral equations

DOI10.1007/s10492-009-0017-5zbMath1212.65256OpenAlexW2127198904MaRDI QIDQ993298

Ning-Ning Yan

Publication date: 10 September 2010

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37820

zbMATH Keywords

Galerkin methodintegral equationadaptive mesh refinementsuperconvergencea posteriori error estimatesconstrained optimal control problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (11)

Superconvergence of semidiscrete splitting positive definite mixed finite elements for hyperbolic optimal control problems ⋮ Two‐grid methods for –<scp>P₁</scp> mixed finite element approximation of general elliptic optimal control problems with low regularity ⋮ Nonconforming modified quasi-Wilson finite element method for convection-diffusion-reaction equation ⋮ Error estimates and superconvergence of a mixed finite element method for elliptic optimal control problems ⋮ A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro-differential equations ⋮ Superconvergence and a posteriori error estimates of splitting positive definite mixed finite element methods for elliptic optimal control problems ⋮ New elliptic projections and a priori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations ⋮ Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations ⋮ A priori and a posteriori error estimates of \(H^1\)-Galerkin mixed finite element methods for elliptic optimal control problems ⋮ A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint ⋮ A priori and a posteriori error analysis of \textit{hp} spectral element discretization for optimal control problems with elliptic equations

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