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A Multigird Method of P1 Nonconforming Quadrilateral Finite Element for Solving Stokes Problem(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2012年01期
Page:
1-11
Research Field:
数学
Publishing date:

Info

Title:
A Multigird Method of P1 Nonconforming Quadrilateral Finite Element for Solving Stokes Problem
Author(s):
Huang Ping1; 2; Wang Chenwei2; Yang Juling2; Xu Dandan1
1.Institute of Science,PLA University of Science and Technology,Nanjing 211101,China
Keywords:
P1 nonconforming quadrilateral finite element; Stokes problem; multigrid method; stabilized method
PACS:
O241.82
DOI:
-
Abstract:
In this paper，we study the multigrid method of P1 － Q0 elements ( where P1 denotes P1 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．

References:

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Last Update: 2013-03-11