A Stabilized Finite Element Method for Darcy-Stokes Problems

摘要：

A stabilized finite element methods for the singularly perturbed Stokes problem is proposed in this paper. This model is approximately a linear Stokes problem when the perturbation parameter is large, while it degenerates to a mixed formulation of Poissons equation as the perturbation parameter tends to zero. The stabilized formula is uniformly stable for a traditional stable and uniformlyconsistent Stokes element. The corresponding discretization error estimates are derived. Finally some 2D numerical experiments are carried out to verify the theoretical results.

关键词： stabilized finite elements Darcy-Stokes problems error estimate

作者: Yumei Chen

作者单位: College of Mathematics and Information,China West Normal University,Nanchong, 637002,China

会议类型: 国际会议

会议名称: The Third International Joint Conference on Computational Science and Optimization(第三届计算科学与优化国际大会 CSO 2010)

会议地点: 黄山

会议语种:英文

页码: 201-204

在线出版日期: 2010-05-28（万方平台首次上网日期，不代表论文的发表时间）