数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (1): 129-138.

• 论文 • 上一篇    下一篇

A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS

芮洪兴   

  1. School of Mathematics and System Science, Shandong University, Jinan 250100, China
  • 出版日期:2004-07-13 发布日期:2004-07-13
  • 基金资助:

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

A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS

 RUI Hong-Xin   

  • Online:2004-07-13 Published:2004-07-13
  • Supported by:

    . Supported by National Natural Science Foundation of
    China(10071044) and 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.

Abstract:

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.

Key words: Finite volume element method;thermal convection problem, error estimate

中图分类号: 

  • 65N12