GALERKIN LEAST-SQUARES HP-FINITE ELEMENT METHOD FOR THE STOKES PROBLEM

Authors
SCHOTZAU D GERDES K SCHWAB C
Citation
D. Schotzau et al., GALERKIN LEAST-SQUARES HP-FINITE ELEMENT METHOD FOR THE STOKES PROBLEM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(2), 1998, pp. 249-254
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
2
Year of publication
1998
Pages
249 - 254
Database
ISI
SICI code
0764-4442(1998)326:2<249:GLHEMF>2.0.ZU;2-G
Abstract
A stabilized mixed hp-Finite Element Method (FEM) of Galerkin Least Sq uares type for the Stokes problem in polygonal domains is presented an d analyzed. It is proved that for equal order velocity and pressure sp aces this method leads to exponential rates of convergence provided th at the data is piecewise analytic.