非定常的热传导──对流问题的混合有限元法  

THE MIXED FINITE ELEMENT METHOD FOR THE NON STATIONARY CONDUCTION-CONVECTION PROBLEMS

作　　者：罗振东[1] 

机构地区：[1]中国科学院计算数学与科学工程计算所

出　　处：《计算数学》1998年第1期69-88,共20页Mathematica Numerica Sinica

摘　　要：In this paper we have studied the mixed finite element method for the non stationary conduct ic n-convection problems, where the coupled equations governing viscous incompressible flow and heat transfer process, and incompressible fluid are the Boussinesq approximations to the nonstationary Navier-Stokes equations.We have discussed the existence of continuous, semi-discrete and fully discrete solutions, and derive the error estimates for the approximate solutions on the continuous and discrete time cases.In this paper we have studied the mixed finite element method for the non stationary conduct ic n-convection problems, where the coupled equations governing viscous incompressible flow and heat transfer process, and incompressible fluid are the Boussinesq approximations to the nonstationary Navier-Stokes equations.We have discussed the existence of continuous, semi-discrete and fully discrete solutions, and derive the error estimates for the approximate solutions on the continuous and discrete time cases.

关 键 词：热传导 对流问题 混合有限元法 不可压缩流体 

分 类 号：O357.1[理学—流体力学] O241.82[理学—力学]