环形空腔内自然对流问题的混合有限元方法的误差估计

ERROR ESTIMATES OF MIXED FINITE ELEMENT METHODS FOR THE PROBLEM OF NATURAL CONVECTION IN AN ANNULAR CAVITY

本文从研究环形空腔内自然对流问题的流体运动状态及温度分布规律出发，构造出Ｂｏｕｓｓｉｎｅｓｑ方程组初、边值问题，给出了两种混合有限元计算格式及它们的有限元误差估计．

On the basis of the fluid flow and temperature distribution studied in this paper, an initial-boundary value problem of Boussinesq equation for natural convection in an annular cavity is established. Two mixed finite element numerical methods and their error estimates are presented.