Convergence of equilibria for numerical approximations of a suspension model
| Autor: | Pavlo O. Kasyanov, José Valero, Ángel Giménez, O. V. Kapustyan, José M. Amigó |
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| Rok vydání: | 2016 |
| Předmět: |
Partial differential equation
Approximations of π 010102 general mathematics Mathematical analysis hp-FEM Fixed point 01 natural sciences Backward Euler method Stationary point Local convergence 010101 applied mathematics Computational Mathematics Computational Theory and Mathematics Modeling and Simulation Convergence (routing) 0101 mathematics Mathematics |
| Zdroj: | Computers and Mathematics with Applications |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2016.05.034 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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