A CHEBYSHEV COLLOCATION ALGORITHM FOR THE SOLUTION OF ADVECTION-DIFFUSION EQUATIONS

Authors
PINELLI A BENOCCI C DEVILLE M
Citation
A. Pinelli et al., A CHEBYSHEV COLLOCATION ALGORITHM FOR THE SOLUTION OF ADVECTION-DIFFUSION EQUATIONS, Computer methods in applied mechanics and engineering, 116(1-4), 1994, pp. 201-210
Citations number
12
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
201 - 210
Database
ISI
SICI code
0045-7825(1994)116:1-4<201:ACCAFT>2.0.ZU;2-D
Abstract
An original method to precondition Chebyshev collocated advection-diff usion operators is proposed. The preconditioner, based on an upwind fi nite difference approximation, is tested on one- and two-dimensional p roblems. The preconditioner behaves efficiently for advection-dominate d cases and produces rates of convergence independent of the number of nodes. Finally, an 'ad hoc' designed multi-domain strategy is introdu ced.