APPLICATION OF MIXED FINITE-ELEMENT THEOR Y TO THE STUDY OF A CLASS OF FINITE DIFFERENCE-VOLUME SCHEMES FOR ELLIPTIC PROBLEMS

Authors
BARANGER J MAITRE JF OUDIN F
Citation
J. Baranger et al., APPLICATION OF MIXED FINITE-ELEMENT THEOR Y TO THE STUDY OF A CLASS OF FINITE DIFFERENCE-VOLUME SCHEMES FOR ELLIPTIC PROBLEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 319(4), 1994, pp. 401-404
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
319
Issue
4
Year of publication
1994
Pages
401 - 404
Database
ISI
SICI code
0764-4442(1994)319:4<401:AOMFTY>2.0.ZU;2-Z
Abstract
We consider the dual mixed formulation of the Dirichlet problem. We sh ow that all appropriate numerical integration allows to eliminate grad ient variable. In this fashion we explicitly get a scheme in which the only unknows are the initial ones and which can be understood as a Fi nite Volume one. Mixed Finite Element techniques can be used to obtain error estimations for some Finite Volume schemes.