Article ISI SCOPUS
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  (2009)

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

San Martin, J; Smaranda L.; Takahashi, T.

Abstract

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. © 2009 Elsevier B.V. All rights reserved.

Más información

Título según WOS: Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time
Título según SCOPUS: Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time
Título de la Revista: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volumen: 230
Número: 2
Editorial: Elsevier
Fecha de publicación: 2009
Página de inicio: 521
Página final: 545
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S0377042708006493
DOI:

10.1016/j.cam.2008.12.021
Notas: ISI, SCOPUS