Superconvergence of Fully Discrete Finite Elements for Parabolic Control Problems with Integral Constraints

Superconvergence of Fully Discrete Finite Elements for Parabolic Control Problems with Integral Constraints

Year:    2013

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 2 : pp. 138–153

Abstract

A quadratic optimal control problem governed by parabolic equations with integral constraints is considered. A fully discrete finite element scheme is constructed for the optimal control problem, with finite elements for the spatial but the backward Euler method for the time discretisation. Some superconvergence results of the control, the state and the adjoint state are proved. Some numerical examples are performed to confirm theoretical results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.240313.280513a

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 2 : pp. 138–153

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Superconvergence finite element method optimal control problems parabolic equations integral constraint.

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