Global and local error analysis for the residual-free bubbles method applied to advection-dominated problems

Abstract. We prove the stability and a priori global and local error analysis for the residual-free bubbles finite element method applied to advection dominated advection-diffusion problems. Key words. advection-diffusion problems, local error estimates, residual free bubbles. AMS subject classifications. 65G99, 65N30, 76R99 1. Introduction. W