CONSERVATION SCHEMES FOR CONVECTION-DIFFUSION EQUATIONS WITH ROBIN BOUNDARY CONDITIONS

被引：4
|
作者：
Flotron, Stephane [1 ]
Rappaz, Jacques [1 ]
机构：
[1] Ecole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2013年 / 47卷 / 06期
关键词：
Finite Elements; numerical conservation schemes; Robin boundary condition; convection-diffusion equations;
D O I：
10.1051/m2an/2013087
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1765 / 1781
页数：17
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