- 教授
- 博士生导师
- 硕士生导师
- 入职时间：1997-07-01
- 学历：博士研究生毕业
- 性别：男
- 学位：博士
- 在职信息：在职
- 毕业院校：西安交通大学
- 所属院系：数学与统计学院
- 学科：数学
Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh L2 projection
- 发布时间：2025-04-30
- 论文名称：Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh L2 projection
- 发表刊物：Numerical methods for PDEs
- 摘要：This article first recalls the results of a stabilized finite element method based on a local Gauss integration
method for the stationary Stokes equations approximated by low equal-order elements that do not satisfy the
inf-sup condition. Then, we derive general superconvergence results for this stabilized method by using a
local coarse mesh L2 projection. These supervergence results have three prominent features. First, they are
based on a multiscale method defined for any quasi-uniform mesh. Second, they are derived on the basis of a
large sparse, symmetric positive-definite system of linear equations for the solution of the stationary Stokes
problem. Third, the finite elements used fail to satisfy the inf-sup condition. This article combines the merits
of the new stabilized method with that of the L2 projection method. This projection method is of practical
importance in scientific computation. Finally, a series of numerical experiments are presented to check the
theoretical results obtained. - 合写作者：Jian Li, Liquan Mei, Zhangxin Chen
- 卷号：28(1)
- 页面范围：115-126
- 是否译文：否
- 发表时间：2012-01-16
- 合写作者：Jian Li, Liquan Mei, Zhangxin Chen