Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

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.


Published in:
Esaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, 47, 6, 1765-1781
Year:
2013
Publisher:
Les Ulis Cedex A, EDP Sciences
ISSN:
0764-583X
Keywords:
Laboratories:




 Record created 2013-12-09, last modified 2018-03-17


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