A Posteriori Error Estimates for a Semidiscrete Parabolic Integrodifferential Control on Multimeshes | Zendy

Wanfang Shen | Zendy

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A Posteriori Error Estimates for a Semidiscrete Parabolic Integrodifferential Control on Multimeshes

Author(s) -

Wanfang Shen

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/481295

Subject(s) - a priori and a posteriori , uniqueness , estimator , finite element method , optimal control , mathematics , obstacle , control (management) , mathematical optimization , obstacle problem , computer science , mathematical analysis , statistics , physics , variational inequality , philosophy , epistemology , artificial intelligence , political science , law , thermodynamics

We extend the existing techniques to study semidiscrete adaptive finite element approximation schemes for a constrained optimal control problem governed by parabolic integrodifferential equations. The control problem involves time accumulation and the control constrain is given in an integral obstacle sense. We first prove the uniqueness and existence of the solution of this optimal control problem. We then derive the upper a posteriori error estimators for both the state and the control approximation, which are useful indicators in adaptive multimesh finite element approximation schemes

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