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Regularized finite element discretizations of a grade-two fluid model. (English) Zbl 1072.76036

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, and finite element discretization of the regularized problem. We prove optimal a priori and a posteriori error estimates and present some numerical experiments.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76A05 Non-Newtonian fluids

Keywords:

error estimates

Software:

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References:

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