Burman, ErikHansbo, Peter2007-04-242007-04-242007-04-24200410.1016/j.cma.2003.12.032https://infoscience.epfl.ch/handle/20.500.14299/5385WOS:0002209307000075042In this paper we recall a stabilization technique for finite element methods for convection-diffusion-reaction equations, originally proposed by Douglas and Dupont. The method uses least square stabilization of the gradient jumps a across element boundaries. We prove that the method is stable in the hyperbolic limit and prove optimal a priori error estimates. We address the question of monotonicity of discrete solutions and present some numerical examples illustrating the theoretical resultsboundary layersconvection diffusionfinite element analysisflow instabilityflow simulationGalerkin methodhyperbolic equationsleast squares approximationstext::journal::journal article::research article