Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time |
| |
Authors: | Jorge San Martín Loredana Smaranda Tako Takahashi |
| |
Institution: | Jorge San Martín, Loredana Smaranda,Takéo Takahashi, |
| |
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. |
| |
Keywords: | Stokes equations Arbitrary Lagrangian Eulerian Finite element method |
本文献已被 ScienceDirect 等数据库收录! |