THE P-VERSION OF MIXED FINITE-ELEMENT METHODS FOR PARABOLIC PROBLEMS

Authors
GARCIA SMF JENSEN S
Citation
Smf. Garcia et S. Jensen, THE P-VERSION OF MIXED FINITE-ELEMENT METHODS FOR PARABOLIC PROBLEMS, Modelisation mathematique et analyse numerique, 31(3), 1997, pp. 303-326
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Modelisation mathematique et analyse numerique → ACNP
ISSN journal
0764583X
Volume
31
Issue
3
Year of publication
1997
Pages
303 - 326
Database
ISI
SICI code
0764-583X(1997)31:3<303:TPOMFM>2.0.ZU;2-G
Abstract
We investigate a parabolic problem from the point of view of stability and approximation properties of increasing order mixed (in space) fin ite element methods. Previous estimates for the Raviart-Thomas project ion are proven to be sharp. We analyze the effects of mixed finite ele ment discretization in space to present transient error estimates (for semidiscrete mixed finite element methods). The results in this paper (submitted in Oct. 1993) complement the results already published in [6-8].