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Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Jorge San Martín, Loredana Smaranda, Takéo Takahashi

Editorial: Journal of Computational and Applied Mathematics, 230, Issue 2, p.521-545, 2009.

Rezumat:

We consider the approximation of the unsteady Stokes equations in a time dependent domain when the motion of the domain is given. More precisely, we apply the finite element method to an Arbitrary Lagrangian Eulerian (ALE) formulation of the system. Our main results state the convergence of the solutions of the semi-discretized (with respect to the space variable) and of the fully-discrete problems towards the solutions of the Stokes system.

Cuvinte cheie: Stokes equations, Arbitrary Lagrangian Eulerian, Finite element method

URL: http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TYH-4V9S3KJ-3&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=03d059200205b96d92a611028c88384e