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Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids

Abstract:
In this work, we introduce an iterative linearised finite element method for the solution of Bingham fluid flow problems. The proposed algorithm has the favourable property that a subsequence of the sequence of iterates generated converges weakly to a solution of the problem. This will be illustrated by two numerical experiments.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.apnum.2022.06.011

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Elsevier
Journal:
Applied Numerical Mathematics More from this journal
Volume:
191
Pages:
364-387
Publication date:
2022-06-22
Acceptance date:
2022-06-17
DOI:
ISSN:
0168-9274
Language:
English
Keywords:
Pubs id:
1196609
Local pid:
pubs:1196609
Deposit date:
2022-06-18

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