Volume 47, Number 6, November-December 2013
|Page(s)||1765 - 1781|
|Published online||11 October 2013|
Conservation schemes for convection-diffusion equations with Robin boundary conditions∗,∗∗
Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland.
Revised: 23 April 2013
In 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.
Mathematics Subject Classification: 65M60 / 35K20 / 80A20
Key words: Finite Elements / numerical conservation schemes / Robin boundary condition / convection-diffusion equations
© EDP Sciences, SMAI 2013
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.