A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems

DOI10.4208/aamm.2012.m30zbMath1310.65130OpenAlexW2467142693MaRDI QIDQ5249451

Danping Yang, Liang Ge, Wan-fang Shen, Wen-bin Liu

Publication date: 6 May 2015

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2012.m30

zbMATH Keywords

optimal controloptimality conditionsfinite element methodsa priori error estimatelinear parabolic integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Discrete approximations in optimal control (49M25)

Related Items (4)

Sharp a posteriori error estimates for optimal control governed by parabolic integro-differential equations ⋮ Unnamed Item ⋮ \(L^{\infty}\)-error estimates of rectangular mixed finite element methods for bilinear optimal control problem ⋮ Full-discrete adaptive FEM for quasi-parabolic integro-differential PDE-constrained optimal control problem

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