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Author
Mahoui,Sihem ; Moulay, Mohamed Said ; Omrane, Abdennebi
Title
Finite element approach to linear parabolic pointwise control problems of incomplete data
Type
Journal Article
Year
2020
Publication
International Journal of Systems Science
Abbreviated Journal
Volume
51
Issue
14
Pages
2597-2609
Keywords
Optimal control problem ; low-regret control ; pointwise control ; finite element method ; a priori error estimates
Abstract
In this paper we give a priori error estimates for finite element approximations of linear parabolicproblems with pointwise control and incomplete data. We discretise the optimal control problemby using piecewise linear and continuous finite elements for the space discretisation of the state,and we use the backward Euler scheme for time discretisation. We prove a priori error estimates forthe state, the adjoint-state as well as for the low-regret pointwise optimal control.
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TAYLOR & FRANCIS LTD
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EcoFoG @ webmaster @
Serial
935
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