摘要
本文介绍了双调和方程混合元的一种新格式,用双二次多项式逼近流函数,双一次多项式逼近涡函数.在拟一致矩形剖分的条件下,证明了此格式具有与C-R格式中分别用双二次多项式逼近相同的收敛阶.
In this paper, a new mixed finite element scheme for solving the biharmonic equation is introduced, in which bilinear and biquadratic elements are used for approximating the vorticity and the stream function, respectively. Under the conditions that rectangulartion is quasi-uniform, it is proved that the scheme has the same order of accuracy as the standard Ciarlet-Raviart scheme using biquadratic finite elements.
出处
《计算数学》
CSCD
北大核心
2012年第2期173-182,共10页
Mathematica Numerica Sinica
基金
国家自然科学基金(No.11071226)
