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research article
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.
Use this identifier to reference this record
Type
research article
Web of Science ID
WOS:000325553800008
Authors
Publication date
2013
Publisher
Volume
47
Issue
6
Start page
1765
End page
1781
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 9, 2013