Journal article
Adaptive Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology
- Abstract:
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We develop the a posteriori error analysis of finite element approximations of implicit power-law-like models for viscous incompressible fluids. The Cauchy stress and the symmetric part of the velocity gradient in the class of models under consideration are related by a, possibly multi--valued, maximal monotone $r$-graph, with $\frac{2d}{d+1} < $r$ < ∞. We establish upper and lower bounds on the finite element residual, as well as the local stability of the error bound. We then consider...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, pdf, 588.0KB)
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- Publisher copy:
- 10.1051/m2an/2015085
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Authors
Bibliographic Details
- Publisher:
- EDP Sciences Publisher's website
- Journal:
- ESAIM: Mathematical Modelling and Numerical Analysis Journal website
- Volume:
- 50
- Issue:
- 5
- Pages:
- 1333 - 1369
- Publication date:
- 2015-03-18
- Acceptance date:
- 2015-10-30
- DOI:
- EISSN:
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1290-3841
- ISSN:
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0764-583X
- Source identifiers:
-
515157
Item Description
- Keywords:
- Pubs id:
-
pubs:515157
- UUID:
-
uuid:3bfb1091-de2b-4931-97f5-863371d3de92
- Local pid:
- pubs:515157
- Deposit date:
- 2015-04-28
Terms of use
- Copyright holder:
- EDP Sciences
- Copyright date:
- 2015
- Notes:
- Copyright EDP Sciences, SMAI 2016. This is the final publisher version of the article. This is available online from EDP Sciences at: https://doi.org/10.1051/m2an/2015085
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