Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems

This article is devoted to the a posteriori error analysis of multiharmonic finite element approximations to distributed optimal control problems with time-periodic state equations of parabolic type. We derive a posteriori estimates of the functional type, which are easily computable and provide gua...

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Bibliographic Details
Published in:	Numerical functional analysis and optimization Vol. 37; no. 10; pp. 1267 - 1294
Main Authors:	Langer, Ulrich, Repin, Sergey, Wolfmayr, Monika
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 02-10-2016
Subjects:	35Kxx Approximation Efficiency Error analysis Errors Estimates Functional a posteriori error estimates Mathematical analysis multiharmonic finite element methods Optimal control Optimization parabolic time-periodic optimal control problems
Online Access:	Get full text
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Summary:	This article is devoted to the a posteriori error analysis of multiharmonic finite element approximations to distributed optimal control problems with time-periodic state equations of parabolic type. We derive a posteriori estimates of the functional type, which are easily computable and provide guaranteed upper bounds for the state and co-state errors as well as for the cost functional. These theoretical results are confirmed by several numerical tests that show high efficiency of the a posteriori error bounds.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0163-0563 1532-2467
DOI:	10.1080/01630563.2016.1200077