关于Darcy方程和Stokes方程耦合问题的非协调稳定化方法

冯民富; 祁瑞生; 朱瑞; 鞠炳焘

doi:10.3879/j.issn.1000-0887.2010.03.012

关于Darcy方程和Stokes方程耦合问题的非协调稳定化方法

doi: 10.3879/j.issn.1000-0887.2010.03.012

基金项目: 四川省科技攻关课题资助项目(05GG006-006-2)

详细信息

作者简介:
冯民富(1964- ),男,四川南充人,教授,博士(联系人.E-mail:fm@fwtjs.cn);祁瑞生(1982- ),男,山东莱阳人(E-mail:qiruisheng123@sohu.com).

中图分类号: O242.21
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- 被引次数: 0
出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-01-25
- 刊出日期: 2010-03-15

Stabilized Crouzeix-Raviart Element for the Coupled Stokes and Darcy Problem

Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China;

摘要

摘要: 对于Darcy-Stokes耦合问题，基于非协调的Crouzeix-Raviart元，提出了一种新的稳定化有限元方法．并对该方法导出了最优的误差估计．最后，用数值计算验证了所提出理论的有效性．
- 耦合问题 /
- 质量守恒 /
- 稳定化有限元方法
Abstract: A new stabilized finite element method for the coupled Stokes and Darcy problem was introduced based on the noncom forming Crouzeix-Raviart element. Optimal error estimates for the fluid velocity and pressure were derived. Finally, a numerical example verifying the theoretical predictions was presented.
- coupled problem /
- mass conservation /
- stabilized element method

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参考文献(23)

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