Some error estimates of finite volume element method for parabolic optimal control problems

DOI10.1002/oca.2059zbMath1290.49057OpenAlexW2147646275MaRDI QIDQ5418931

Yunqing Huang, XianBing Luo, Tianliang Hou, Yanping Chen

Publication date: 30 May 2014

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2059

zbMATH Keywords

distributed controlfinite volume element methodvariational discretizationparabolic optimal control problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (10)

A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem ⋮ Error estimates of Fourier finite volume element method for parabolic Dirichlet boundary optimal control problems on complex connected domains ⋮ A splitting algorithm for constrained optimization problems with parabolic equations ⋮ Interpolated coefficient characteristic finite element method for semilinear convection-diffusion optimal control problems ⋮ Error bounds for discontinuous finite volume discretisations of Brinkman optimal control problems ⋮ Unnamed Item ⋮ Fourier Finite Volume Element Method for Two Classes of Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domain ⋮ A Priori Error Estimates of <scp>C</scp> rank–Nicolson Finite Volume Element Method for a Hyperbolic Optimal Control Problem ⋮ Optimal control of two-dimensional parabolic partial differential equations with application to steel billets cooling in continuous casting secondary cooling zone ⋮ A priori and posteriori error estimates of Legendre Galerkin spectral methods for general elliptic optimal control problems

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