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Analysis of a stabilised finite element method for power-law fluids

Abstract:

A low-order finite element method is constructed and analysed for an incompressible non-Newtonian flow problem with power-law rheology. The method is based on a continuous piecewise linear approximation of the velocity field and piecewise constant approximation of the pressure. Stabilisation, in the form of pressure jumps, is added to the formulation to compensate for the failure of the inf-sup condition, and using an appropriate lifting of the pressure jumps a divergence-free approximation t...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00365-022-09591-4

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Worcester College
Role:
Author
ORCID:
0000-0002-0812-6105
Publisher:
Springer Publisher's website
Journal:
Constructive Approximation Journal website
Publication date:
2022-10-13
Acceptance date:
2022-08-26
DOI:
EISSN:
1432-0940
ISSN:
0176-4276
Language:
English
Keywords:
Pubs id:
1189197
Local pid:
pubs:1189197
Deposit date:
2022-08-26

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