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A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem

Baensch, Eberhard
; 
Karakatsani, Fotini
; 
Makridakis, Charalambos
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Affiliation
University of Erlangen; University of Chester; University of Crete; Foundation for Research & Technology, Greece; University of Sussex
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Publication Date
2018-05-02
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Mathematics
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Abstract
This work is devoted to a posteriori error analysis of fully discrete finite element approximations to the time dependent Stokes system. The space discretization is based on popular stable spaces, including Crouzeix–Raviart and Taylor–Hood finite element methods. Implicit Euler is applied for the time discretization. The finite element spaces are allowed to change with time steps and the projection steps include alternatives that is hoped to cope with possible numerical artifices and the loss of the discrete incompressibility of the schemes. The final estimates are of optimal order in L∞(L2) for the velocity error.
Citation
Bänsch, E., Karakatsani, F., & Makridakis, C. G. (2018). A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem. Calcolo, 55, 19. https://doi.org/10.1007/s10092-018-0259-2
Publisher
Springer
Journal
Calcolo
Research Unit
URI
http://hdl.handle.net/10034/621169
DOI
10.1007/s10092-018-0259-2
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Type
Article
Language
en
Description
The final publication is available at Springer via http://dx.doi.org/10.1007/s10092-018-0259-2
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ISSN
EISSN
1126-5434
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https://link.springer.com/article/10.1007/s10092-018-0259-2