Convergence of equilibria for numerical approximations of a suspension model

被引：1

作者：

Valero, J. ^{[1
]}

Gimenez, A. ^{[1
]}

Kapustyan, O. V. ^{[2
]}

Kasyanov, P. O. ^{[3
]}

Amigo, J. M. ^{[1
]}

机构：

[1] Univ Miguel Hernandez Elche, Ctr Invest Operat, Elche 03202, Alicante, Spain

[2] Taras Shevchenko Natl Univ Kyiv, Kiev, Ukraine

[3] Natl Tech Univ Ukraine, Kyiv Polytech Inst, Inst Appl Syst Anal, Kiev, Ukraine

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 72卷 / 04期

关键词：

Non-Newtonian fluids; Suspensions; Numerical approximations; Finite-difference schemes; Partial differential equations; MULTISCALE MODEL;

D O I：

10.1016/j.camwa.2016.05.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：856 / 878

页数：23

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