A Posteriori Error Estimates for Mixed Finite Elements of a Quadratic Control Problem

Yanping Chen () and Wenbin Liu ()
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Yanping Chen: Xiangtan University, ICAM
Wenbin Liu: Xiangtan University, ICAM

A chapter in Recent Progress in Computational and Applied PDES, 2002, pp 123-134 from Springer

Abstract: Abstract In this paper, we present an a posteriori error analysis for the mixed finite element approximation of a linear quadratic control problem. We derive a posteriori error estimates for the coupled state and control approximations under some assumptions which hold in many applications. Such estimates, which are apparently not available in the literature, can be used to construct reliable adaptive mixed finite element methods for the control problem.

Keywords: adaptive refinement schemes; a posteriori error estimator; mixed finite element; linear quadratic control problem (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0113-8_8

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DOI: 10.1007/978-1-4615-0113-8_8

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