Adaptive Finite Element Method for Optimal Control Problem Governed by Linear Quasiparabolic Integrodifferential Equations

Wanfang Shen and Hua Su

Abstract and Applied Analysis, 2012, vol. 2012, 1-26

Abstract:

The mathematical formulation for a quadratic optimal control problem governed by a linear quasiparabolic integrodifferential equation is studied. The control constrains are given in an integral sense: 𠑈 ð ‘Ž ð ‘‘ ∫ = { ð ‘¢ ∈ ð ‘‹ ; Ω 𠑈 ð ‘¢ ⩾ 0 , ð ‘¡ ∈ [ 0 , 𠑇 ] } . Then the a posteriori error estimates in ð ¿ âˆž ( 0 , 𠑇 ; ð » 1 ( Ω ) ) -norm and ð ¿ 2 ( 0 , 𠑇 ; ð ¿ 2 ( Ω ) ) -norm for both the state and the control approximation are given.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:808514

DOI: 10.1155/2012/808514

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