Convergence of equilibria for numerical approximations of a suspension model

In this paper we study the numerical approximations of a non-Newtonian model for concentrated suspensions. First, we prove that the approximative models possess a unique fixed point and study their convergence to a stationary point of the original equation. Second, we implement an implicit Euler sch...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2016-08, Vol.72 (4), p.856-878
Main Authors: Valero, J., Giménez, A., Kapustyan, O.V., Kasyanov, P.O., Amigó, J.M.
Format: Article
Language:English
Subjects:
Approximation
Computer simulation
Convergence
Finite-difference schemes
Mathematical analysis
Mathematical models
Non-Newtonian fluids
Numerical approximations
Partial differential equations
Proving
Suspensions
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Summary:In this paper we study the numerical approximations of a non-Newtonian model for concentrated suspensions. First, we prove that the approximative models possess a unique fixed point and study their convergence to a stationary point of the original equation. Second, we implement an implicit Euler scheme, proving the convergence of these approximations as well. Finally, numerical simulations are provided.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2016.05.034