• 论文 •

### 基于Crouzeix-Raviart元的界面浸入有限元方法及其收敛性分析

1. 山东师范大学 数学科学学院, 济南 250014
• 收稿日期:2010-06-22 出版日期:2012-05-15 发布日期:2012-05-20
• 通讯作者: 陈焕贞
• 基金资助:

国家自然科学基金(10271068,10971254), 山东省自然科学基金(ZR2009AZ003),山东省优秀中青年科学家科研奖励基金(2008BS01008)资助项目.

Wang Shuyan, Chen Huanzhen. AN IMMERSED FINITE ELEMENT METHOD BASED ON CROUZEIX-RAVIART ELEMENTS[J]. Mathematica Numerica Sinica, 2012, 34(2): 125-138.

### AN IMMERSED FINITE ELEMENT METHOD BASED ON CROUZEIX-RAVIART ELEMENTS

Wang Shuyan, Chen Huanzhen

1. School of Mathematical Sciences, Shandong Normal University, Jinan, Shandong 250014, China
• Received:2010-06-22 Online:2012-05-15 Published:2012-05-20

In this paper we present an immersed finite element method to solve numerically second order elliptic interface problems. The characteristics of the method is to prescribe a modified linear finite element space on each interface element in order to enforce the flux jump condition on the smooth interface, and a Crouzeix-Raviart non-conforming element on each non-interface element. Optimal-order error estimates are derived in the broken H1?norm and L2?norm.

MR(2010)主题分类:

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