LOW ORDER NONCONFORMING RECTANGULAR FINITE ELEMENT METHODS FOR DARCY-STOKES PROBLEMS  

作　　者：Shiquan Zhang Xiaoping Xie Yumei Chen 

机构地区：[1]School of Mathematics, Sichuan University, Chengdu 610064, China [2]Yangtze Center of Mathematics and School of Mathematics, Sichuan University, Chengdu 610064, China [3]School of Mathematics, Sichuan University, Chengdu 610064, China College of Mathematics and Information, China West Normal University, Nanchong 637002, China

出　　处：《Journal of Computational Mathematics》2009年第2期400-424,共25页计算数学（英文）

基　　金：supported by the Natural Science Foundation of China (10771150);the National Basic Research Program of China (2005CB321701);the Program for New Century Excellent Talents in University (NCET-07-0584)

摘　　要：In this paper, we consider lower order rectangular finite element methods for the singularly perturbed Stokes problem. The model problem reduces to a linear Stokes problem when the perturbation parameter is large and degenerates to a mixed formulation of Poisson＇s equation as the perturbation parameter tends to zero. We propose two 2D and two 3D nonconforming rectangular finite elements, and derive robust discretization error estimates. Numerical experiments are carried out to verify the theoretical results.In this paper, we consider lower order rectangular finite element methods for the singularly perturbed Stokes problem. The model problem reduces to a linear Stokes problem when the perturbation parameter is large and degenerates to a mixed formulation of Poisson＇s equation as the perturbation parameter tends to zero. We propose two 2D and two 3D nonconforming rectangular finite elements, and derive robust discretization error estimates. Numerical experiments are carried out to verify the theoretical results.

关 键 词：Darcy-Stokes problem Finite element Uniformly stable 

分 类 号：O241.82[理学—计算数学] O357.1[理学—数学]