Regularized finite element discretizations of a grade‐two fluid model | Zendy

Amara M. | Zendy; Bernardi C. | Zendy; Girault V. | Zendy; Hecht F. | Zendy

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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.

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