PETROV-GALERKIN METHODS FOR THE TRANSIENT ADVECTIVE-DIFFUSIVE EQUATION WITH SHARP GRADIENTS

Authors
IDELSOHN SR HEINRICH JC ONATE E
Citation
Sr. Idelsohn et al., PETROV-GALERKIN METHODS FOR THE TRANSIENT ADVECTIVE-DIFFUSIVE EQUATION WITH SHARP GRADIENTS, International journal for numerical methods in engineering, 39(9), 1996, pp. 1455-1473
Citations number
15
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
Journal title
International journal for numerical methods in engineering → ACNP
ISSN journal
00295981
Volume
39
Issue
9
Year of publication
1996
Pages
1455 - 1473
Database
ISI
SICI code
0029-5981(1996)39:9<1455:PMFTTA>2.0.ZU;2-V
Abstract
A Petrov-Galerkin formulation based on two different perturbations to the weighting functions is presented. These perturbations stabilize th e oscillations that are normally exhibited by the numerical solution o f the transient advective-diffusive equation in the vicinity of sharp gradients produced by transient loads and boundary layers. The formula tion may be written as a generalization of the Galerkin Least-Square m ethod.