Revision as of 10:56, 12 December 2018

Published in Int. Journal for Numerical Methods in Engineering Vol. 39 (9), pp. 1455-1473, 1996
doi: 10.1002/(SICI)1097-0207(19960515)39:9<1455::AID-NME912>3.0.CO;2-0

Abstract

A Petrov–Galerkin formulation based on two different perturbations to the weighting functions is presented. These perturbations stabilize the oscillations that are normally exhibited by the numerical solution of the transient advective–diffusive equation in the vicinity of sharp gradients produced by transient loads and boundary layers. The formulation may be written as a generalization of the Galerkin Least‐Square method.