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Regularized finite element discretizations of a grade‐two fluid model
Author(s) -
Amara M.,
Bernardi C.,
Girault V.,
Hecht F.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.949
Subject(s) - discretization , a priori and a posteriori , mathematics , finite element method , regularization (linguistics) , bounded function , domain (mathematical analysis) , mathematical analysis , physics , computer science , thermodynamics , philosophy , epistemology , artificial intelligence
SUMMARY We consider a system with three unknowns in a two‐dimensional bounded domain which models the flow of a grade‐two non‐Newtonian fluid. We propose to compute an approximation of the solution of this problem in two steps: addition of a regularization term, finite element discretization of the regularized problem. We prove optimal a priori and a posteriori error estimates and present some numerical experiments. Copyright © 2005 John Wiley & Sons, Ltd.