Functional a posteriori Error Estimates for Time-periodic Parabolic Optimal Control Problems
Abstract
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.
Main Authors
Format
Articles
Research article
Published
2016
Series
Subjects
Publication in research information system
Publisher
Taylor & Francis Inc.
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201610034250Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0163-0563
DOI
https://doi.org/10.1080/01630563.2016.1200077
Language
English
Published in
Numerical Functional Analysis and Optimization
Citation
- Langer, U., Repin, S., & Wolfmayr, M. (2016). Functional a posteriori Error Estimates for Time-periodic Parabolic Optimal Control Problems. Numerical Functional Analysis and Optimization, 37(10), 1267-1294. https://doi.org/10.1080/01630563.2016.1200077
License
Copyright© 2016 Taylor & Francis. This is a final draft version of an article whose final and definitive form has been published by Taylor & Francis. Published in this repository with the kind permission of the publisher.