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Regularized finite element discretizations of a grade-two fluid model

✍ Scribed by M. Amara; C. Bernardi; V. Girault; F. Hecht

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 478 KB
Volume: 48
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.949

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✦ Synopsis

We consider a system with three unknowns in a two-dimensional bounded domain which models the ow of a grade-two non-Newtonian uid. We propose to compute an approximation of the solution of this problem in two steps: addition of a regularization term, ÿnite element discretization of the regularized problem. We prove optimal a priori and a posteriori error estimates and present some numerical experiments.

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