A priori error analysis of residual-free bubbles for advection-diffusion problems

Authors
Brezzi, F Hughes, TJR Marini, LD Russo, A Suli, E
Citation
F. Brezzi et al., A priori error analysis of residual-free bubbles for advection-diffusion problems, SIAM J NUM, 36(6), 1999, pp. 1933-1948
Citations number
24
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
36
Issue
6
Year of publication
1999
Pages
1933 - 1948
Database
ISI
SICI code
0036-1429(19991027)36:6<1933:APEAOR>2.0.ZU;2-F
Abstract
We develop an a priori error analysis of a finite element approximation to the elliptic advection-diffusion equation - epsilon Delta u + a . del u = f subject to a homogeneous Dirichlet boundary condition, based on the use of residual-free bubble functions. An optimal order error bound is derived in the so-called stability-norm [GRAPHICS] where h(T) denotes the diameter of element T in the subdivision of the comp utational domain.