Elliptic property of Upwind Finite Element Method diffus io rt E q uatio n - for C onv ectio n

Abstract

ln this paper a kind of upwind finite element method is considered toapproximate the convection diffusion equation . Under the assumption thatthe exact solution Possessessome regularity properties and the triangulation's are of a weakly acutetype we prove the elliptic property which is very important to prove theconvergent of the numerical method .