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

作     者：Shiquan Zhang School of Mathematics,Sichuan University,Chengdu 610064,China Xiaoping Xie Yangtze Center of Mathematics and School of Mathematics,Sichuan University,Chengdu 610064,China Yumei Chen School of Mathematics,Sichuan University,Chengdu 610064,China College of Mathematics and Information,China West Normal University,Nanchong 637002,China 

出 版 物：《Journal of Computational Mathematics》 (计算数学(英文版))

年 卷 期：2009年第Z1期

页      面：400-424页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

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) 

主　　题：Darcy-Stokes problem Finite element Uniformly stable 

摘      要：In this paper,we consider lower order rectangular finite element methods for the sin-gularly perturbed Stokes *** model problem reduces to a linear Stokes problemwhen the perturbation parameter is large and degenerates to a mixed formulation of Pois-son’s equation as the perturbation parameter tends to *** propose two 2D andtwo 3D nonconforming rectangular finite elements,and derive robust discretization *** experiments are carried out to verify the theoretical results.