A posteriori L∞(L∞)-error estimates for finite-element approximations to parabolic optimal control problems

We derive space–time a posteriori error estimates of finite-element method for the linear parabolic optimal control problems in a convex bounded polyhedral domain. The variational discretization is used to approximate the state and co-state variables with the piecewise linear and continuous function...

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Bibliographic Details
Published in:	Computational & applied mathematics Vol. 40; no. 8
Main Authors:	Manohar, Ram, Sinha, Rajen Kumar
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.12.2021 Springer Nature B.V
Subjects:	Applications of Mathematics Applied physics Computational mathematics Computational Mathematics and Numerical Analysis Continuity (mathematics) Discretization Error analysis Estimates Finite element method Kernels Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics Optimal control Optimization Reconstruction State variable Variables Variational discretization Elliptic reconstruction 49J20 Parabolic optimal control problem Maximum norm error estimates 49M29 A posteriori error estimates 49M05 49M15 49M25 Backward-Euler scheme 65N30
ISSN:	2238-3603, 1807-0302
Online Access:	Get full text
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