A posteriori estimates for a coupled piezoelectric model
Abstract
The paper is concerned with a coupled problem describing piesoelectric effects in an elastic
body. For this problem, we deduce majorants of the distance between the exact solution and any approximation
in the respective energy class of functions satisfying the boundary conditions. The majorants are
fully computable and does not contain mesh dependent constants. They vanish if and only if an approximate
solution coincides with the exact one and provide a realistic measure of the accuracy in terms of the natural
energy norm associated with the coupled problem studied.
Main Authors
Format
Articles
Research article
Published
2017
Series
Subjects
Publication in research information system
Publisher
Walter de Gruyter GmbH
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201712114607Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0927-6467
DOI
https://doi.org/10.1515/rnam-2017-0025
Language
English
Published in
Russian Journal of Numerical Analysis and Mathematical Modelling
Citation
- Langer, U., Repin, S., & Samrowski, T. (2017). A posteriori estimates for a coupled piezoelectric model. Russian Journal of Numerical Analysis and Mathematical Modelling, 32(4), 259-266. https://doi.org/10.1515/rnam-2017-0025
License
Copyright© 2017 Walter de Gruyter GmbH, Berlin/Boston. This is a final draft version of an article whose final and definitive form has been published by de Gryuter. Published in this repository with the kind permission of the publisher.