A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS  

作　　者：芮洪兴 

机构地区：[1]School of Mathematics and System Science, Shandong University, Jinan 250100, China

出　　处：《Acta Mathematica Scientia》2004年第1期129-138,共10页数学物理学报（B辑英文版）

基　　金：Supported by National Natural Science Foundation of China(10071044);the Research Fund of Doctoral Program of High Education by State Education Ministry of China.

摘　　要：Consider the finite volume element method for the thermal convection problem with the infinite Prandtl number. The author uses a conforming piecewise linear function on a fine triangulation for velocity and temperature, and a piecewise constant function on a coarse triangulation for pressure. For general triangulation the optimal order H1 norm error estimates are given.Consider the finite volume element method for the thermal convection problem with the infinite Prandtl number. The author uses a conforming piecewise linear function on a fine triangulation for velocity and temperature, and a piecewise constant function on a coarse triangulation for pressure. For general triangulation the optimal order H1 norm error estimates are given.

关 键 词：Finite volume element method thermal convection problem error estimate 

分 类 号：O241.82[理学—计算数学]