REFINED MIXED FINITE-ELEMENT METHODS FOR THE STOKES PROBLEM

Authors
ELBOUZID H NICAISE S
Citation
H. Elbouzid et S. Nicaise, REFINED MIXED FINITE-ELEMENT METHODS FOR THE STOKES PROBLEM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(11), 1996, pp. 1075-1080
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
11
Year of publication
1996
Pages
1075 - 1080
Database
ISI
SICI code
0764-4442(1996)322:11<1075:RMFMFT>2.0.ZU;2-F
Abstract
The solution to the Stokes system with Dirichlet boundary conditions i n a polygon or a polyhedron belongs to suitable weighted Sobolev space s. This regularity lends to optimal rates of convergence for some mixe d finite element methods refined judiciously near the singular points.