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

作者：Qi, Jing; Tian, Wanfu; Li, Yonghai^*

来源：Advances in Applied Mathematics and Mechanics, 2012, 4(1): 46-71.

DOI：10.4208/aamm.11-m1156

• Stokes problem
• finite volume method
• constrained nonconforming rotated Q(1) element

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.

• 出版日期2012-2
• 单位沈阳航空航天大学; 吉林大学