Mixed finite element analysis of a non-linear three-fields Stokes model

Autor:	H. Manouzi, M. Farhloul
Rok vydání:	2001
Předmět:	Computational Mathematics Nonlinear system Monotone polygon Incompressible flow Cauchy stress tensor Applied Mathematics General Mathematics Mathematical analysis Existence theorem Stokes flow Navier–Stokes equations Finite element method Mathematics
Zdroj:	IMA Journal of Numerical Analysis. 21:143-164
ISSN:	1464-3642 0272-4979
DOI:	10.1093/imanum/21.1.143
Popis:	In this article, a mixed finite element analysis of the non-linear Stokes problem with monotone constitutive laws is considered. We construct a new three-field model for incompressible fluids where the velocity u, the non-linear stress tensor a = Ψ (|⊇u|)⊇u and the pressure p are the most relevant unknowns. We give existence and unicity results for the continuous problem and its approximation. Stable and optimal error estimates under minimal regularity assumptions are derived and numerical results are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2201374f9f82726030fa16bd75fa21f0 https://doi.org/10.1093/imanum/21.1.143 Zobrazit plný text záznamu