A posteriori estimates for a coupled piezoelectric model
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
© 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.
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.
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