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, issue 1

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: Uad={u∈X;∫ΩU u⩾0, t∈[0,T]}. Then the a posteriori error estimates in L∞(0, T; H1(Ω))‐norm and L2(0, T; L2(Ω))‐norm for both the state and the control approximation are given.

Date: 2012
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https://doi.org/10.1155/2012/808514

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:808514

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