Estimates of the Distance to Exact Solutions of the Stokes Problem with Slip and Leak Boundary Conditions
Abstract
We deduce a posteriori error estimates of functional type for the stationary Stokes problem with slip and leak boundary conditions. The derived error majorants do not contain mesh dependent constants and are valid for a wide class of energy admissible approximations that satisfy the Dirichlet boundary condition on a part of the boundary. Different forms of error majorants contain global constants associated with Poincaré type inequalities or the stability (LBB) condition for the Stokes problem or constants associated with subdomains (if a domain decomposition is applied). It is proved that the majorants are guaranteed and vanish if and only if the functions entering them coincide with the respective exact solutions.
Main Authors
Format
Articles
Research article
Published
2019
Series
Subjects
Publication in research information system
Publisher
Springer New York LLC
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202001081094Use this for linking
Review status
Peer reviewed
ISSN
1072-3374
DOI
https://doi.org/10.1007/s10958-019-04477-6
Language
English
Published in
Journal of Mathematical Sciences
Citation
- Neittaanmäki, P., Nokka, M., & Repin, S. (2019). Estimates of the Distance to Exact Solutions of the Stokes Problem with Slip and Leak Boundary Conditions. Journal of Mathematical Sciences, 242(2), 280-298. https://doi.org/10.1007/s10958-019-04477-6
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