A Finite Volume Method Based on the Constrained Nonconforming Rotated Q_(1)-Constant Element for the Stokes Problem  

作　　者：Jing Qi Wanfu Tian Yonghai Li 

机构地区：[1]Jilin University,Changchun 130012,China [2]School of Mathematics,Jilin University,Changchun 130012,China [3]School of Science,Shenyang Aerospace University,Shenyang 110136,China

出　　处：《Advances in Applied Mathematics and Mechanics》2012年第1期46-71,共26页应用数学与力学进展（英文）

基　　金：This work is supported by the “985”program of Jilin University and the National Natural Science Foundation of China(NO.10971082).

摘　　要：We construct a finite volume element method based on the constrained nonconforming rotated Q_(1)-constant element(CNRQ_(1)-P_(0))for the Stokes problem.Two meshes are needed,which are the primal mesh and the dual mesh.We approximate the velocity by CNRQ_(1)elements and the pressure by piecewise constants.The errors for the velocity in the H^(1)norm and for the pressure in the L^(2)norm are O(h)and the error for the velocity in the L^(2)norm is O(h^(2)).Numerical experiments are presented to support our theoretical results.

关 键 词：Stokes problem finite volume method constrained nonconforming rotated Q_(1)element 

分 类 号：O17[理学—数学]