Stokes方程的一个新的非协调四边形单元格式  

A new nonconforming quadrilateral element for solving Stokes equations

作　　者：石东洋[1] 吴景珠[1] 

机构地区：[1]郑州大学数学系,河南郑州450052

出　　处：《高校应用数学学报（A辑）》2007年第3期343-348,共6页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(10671184)

摘　　要：对于Stokes方程给出了一个新的非协调四边形单元格式.新单元具有构造简单,自由度较少等优势.特别指出的是,该单元在矩形网格下,还是一个Locking-free元,可用于平面弹性问题.尽管该单元不含协调部分,其相容误差估计较困难,通过采用新的技巧和方法得到了最优误差估计.A new nonconforming quadrilateral finite element for solving Stokes equations is given. The new element has some advantages such as the simple structure and fewer degrees of freedom. It is worthy to point out that the finite element is locking-free for planar elasticity problem under rectangular grid. The element has no conforming part that raises some difficulties in estimating consistency error, but the optimal error estimation is obtained by use of some novel techniques.

关 键 词：STOKES方程 非协调元 四边形 最优误差估计 

分 类 号：O242.21[理学—计算数学]