THE P AND H-P VERSIONS OF SOME FINITE-ELEMENT METHODS FOR STOKES PROBLEM

Authors
JENSEN S ZHANG SY
Citation
S. Jensen et Sy. Zhang, THE P AND H-P VERSIONS OF SOME FINITE-ELEMENT METHODS FOR STOKES PROBLEM, Computer methods in applied mechanics and engineering, 116(1-4), 1994, pp. 147-155
Citations number
18
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
116
Issue
1-4
Year of publication
1994
Pages
147 - 155
Database
ISI
SICI code
0045-7825(1994)116:1-4<147:TPAHVO>2.0.ZU;2-T
Abstract
We investigate discretizations of Stokes' problem (as a sample saddle point problem) from the point of view of stability of increasing order mixed finite element methods. For the cases of velocity-pressure spac e pairs where the stability can be characterized in terms of the growt h of a right-inverse of the divergence operator, we exhibit algebraic instabilities of varying size depending on boundary conditions and the kind of element employed.