Author(s)

Sung-Uk Choi and Chittaranjan Ray

Abstract

The N+2 Petrov-Galerkin method employs weighting functions which are two degree order higher than the basis functions for the trial solution. Recent studies have shown that the N+2 Petrov-Galerkin method yields promising results, however, the determination of an appropriate upwinding level is still problematic. In this paper, optimal upwinding of the N+2 Petrov-Galerkin method is investigated systematically by using the frequency fitting algorithm. Introduction It is quite well known that the standard finite element method yields poor solutions when it is applied to the convection-dominatedtransport problem. A great deal of effort has been made to overcome such numerical difficulty (Hughes, 1978 ; Hughes,

Keywords