On a coupled finite element-finite volume method for convection-diffusion problems

Authors
Sardella, M
Citation
M. Sardella, On a coupled finite element-finite volume method for convection-diffusion problems, IMA J NUM A, 20(2), 2000, pp. 281-301
Citations number
22
Categorie Soggetti
Mathematics
Journal title
IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN journal
02724979 → ACNP
Volume
20
Issue
2
Year of publication
2000
Pages
281 - 301
Database
ISI
SICI code
0272-4979(200004)20:2<281:OACFEV>2.0.ZU;2-O
Abstract
In this paper we present and analyse a coupled finite element-finite volume method for the numerical approximation of singularly perturbed convection- diffusion problems. The idea is to couple a discretization for the convecti ve term, based on the finite volume (node-centred) method, and a standard c ontinuous finite element approximation of the diffusive term. Such a method preserves conservation, fulfils consistency and enhances stability.