Stokes问题的变网格非协调有限元法  

NONCONFORMING FINITE ELEMENT METHODS WITH MOVING GRID OF STOKES PROBLEMS

作　　者：戴培良 许学军[2] 

机构地区：[1]常熟高专,215500 [2]苏州大学,215006

出　　处：《高等学校计算数学学报》1995年第1期74-81,共8页Numerical Mathematics A Journal of Chinese Universities

摘　　要：众所周知,由于LBB条件的限制,用非协调元格式求解速度—压力型的Stokes问题具有构造简单,计算经济和误差阶匹配等优点而在实际计算中经常被采用。用非协调格式处理Stokes问题首先是由Crouzeix-Raviart提出来的,他们采用分片线性三中点三角元这一非协调元作为速度逼近空间,用分片常数有限元空间作为压力逼近空间(即C—R格式)。This paper deals with the nonconforming C - R approximate schemes with moving grid for velocity - pressure mixed formulations of the nonstationary Stokes problems in 2- D. Error estimates in a certain norm of the velocity and the pressure are derived. Moveover, we can see that some error estimates are optimal. Their proofs are based on some results of the stationary problem and the technique of Stokes projection.

关 键 词：斯托克斯问题 有限元 非协调元 变网格 

分 类 号：O241.82[理学—计算数学]