Paper Info
Title
Analysis of a finite volume element method for the Stokes problem
Abstract
In this paper we propose a stabilized conforming finite volume element method for the Stokes equations. On stating the convergence of the method, optimal a priori error estimates in different norms are obtained by establishing the adequate connection between the finite volume and stabilized finite element formulations. A superconvergence result is also derived by using a postprocessing projection method. In particular, the stabilization of the continuous lowest equal order pair finite volume element discretization is achieved by enriching the velocity space with local functions that do not necessarily vanish on the element boundaries. Finally, some numerical experiments that confirm the predicted behavior of the method are provided.
Year
DOI
Venue
2011
10.1007/s00211-011-0373-4
Numerische Mathematik
Keywords
Field
DocType
stokes equation,postprocessing projection method,pair finite volume element,different norm,adequate connection,element boundary,finite volume element method,finite element formulation,finite volume,continuous lowest equal order,stokes problem,projection method
Boundary knot method,Mathematical optimization,Mathematical analysis,Extended finite element method,Superconvergence,Finite element method,Finite volume method,Mathematics,hp-FEM,Smoothed finite element method,Mixed finite element method
Journal
Volume
Issue
ISSN
118
4
0945-3245
Citations 
PageRank 
References 
6
0.55
12
Authors
2
Name
Order
Citations
PageRank
Alfio Quarteroni134144.82
Ricardo Ruiz-Baier27713.60