Flotron, StephaneRappaz, Jacques2013-12-092013-12-092013-12-09201310.1051/m2an/2013087https://infoscience.epfl.ch/handle/20.500.14299/97672WOS:000325553800008In this article, we present a numerical scheme based on a finite element method in order to solve a time-dependent convection-diffusion equation problem and satisfy some conservation properties. In particular, our scheme is able to conserve the total energy for a heat equation or the total mass of a solute in a fluid for a concentration equation, even if the approximation of the velocity field is not completely divergence-free. We establish a priori errror estimates for this scheme and we give some numerical examples which show the efficiency of the method.Finite Elementsnumerical conservation schemesRobin boundary conditionconvection-diffusion equationstext::journal::journal article::research article