南京师大学报（自然科学版）2012，Vol.35Issue(1)：1-11,11.
P1非协调四边形元解Stokes问题的多重网格算法
A Multigird Method of P1 Nonconforming Quadrilateral Finite Element for Solving Stokes Problem
摘要
Abstract
In this paper, we study the multigrid method of P1 -Q0 elements (where P, denotes P, nonconforming quadrilateral finite element) for solving Stokes problem. Since P1- Q0 elements violate the LBB condition, they can not be used for solving Stokes problem directly. Recently, we proposed a stabilized method of P1-Q0 elements for solving Stokes problem. Based on this stabilized method, we propose a. W - cycle multigrid method, and show the optimal convergence of W - cycle multigrid method with a sufficiently large number of smoothing steps. Finally, numerical experiments are presented to confirm our theoretical results.关键词
P1非协调四边形元/Stokes问题/多重网格算法/稳定化方法Key words
P1 nonconforming quadrilateral finite element/Stokes problem/multigrid method/stabilized method分类
数理科学引用本文复制引用
黄萍,王琛玮,杨巨玲,徐丹丹..P1非协调四边形元解Stokes问题的多重网格算法[J].南京师大学报（自然科学版）,2012,35(1):1-11,11.基金项目
国家自然科学基金(10871100). （10871100）
