FINITE ELEMENT METHODS FOR THE 3-FIELD STOKES SYSTEM IN R(3) - GALERKIN METHODS

Authors
Citation
V. Ruas, FINITE ELEMENT METHODS FOR THE 3-FIELD STOKES SYSTEM IN R(3) - GALERKIN METHODS, Modelisation mathematique et analyse numerique, 30(4), 1996, pp. 489-525
Citations number
38
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0764583X
Volume
30
Issue
4
Year of publication
1996
Pages
489 - 525
Database
ISI
SICI code
0764-583X(1996)30:4<489:FEMFT3>2.0.ZU;2-R
Abstract
In this work several new finite element methods for solving the three- field Stokes system associated with viscoelastic flow problems in thre e-dimension space are introduced. The methods presented are based on t he standard Galerkin formulation, and complete proofs of first and sec ond order convergence for the corresponding approximations are given f or most of them.