非定常Stokes问题的Crank-Nicolson格式下质量集中非协调元方法

J4 ›› 2011, Vol. 46 ›› Issue (12): 33-38.

非定常Stokes问题的Crank-Nicolson格式下质量集中非协调元方法

张斐然

商丘师范学院数学系，河南商丘 476000

收稿日期:2010-12-08 出版日期:2011-12-20 发布日期:2011-12-24
作者简介:张斐然(1972- ),男,硕士,副教授, 研究方向为有限元方法及其应用.Email: zhangfeiran666@126.com
基金资助:
国家自然科学基金资助项目(11071226); 河南省科技厅自然科学基金资助项目(102300410259);河南省高校青年骨干教师基金资助

The lumped mass nonconforming finite element method of the Crank-Nicolson scheme for nonstationary Stokes problem

ZHANG Fei-ran

Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, Henan, China

Received:2010-12-08 Online:2011-12-20 Published:2011-12-24

摘要/Abstract

摘要：

讨论了非定常不可压Stokes方程的质量集中非协调有限元逼近格式(Crank-Nicolson全离散格式), 在不需要传统的Stokes投影下,利用插值技巧得到有关速度和压力的最优误差估计。

关键词: 质量集中;Stokes问题;CrankNicolson格式

Abstract:

The discrete approximation scheme of the lumped mass nonconforming finite element method are discussed for nonstationary Stokes problem (Crank-Nicolson fulldiscrete scheme).Without using Stokes projection,the optimal error estimations of the velocity and pressure are derived based on interpolation technique.

Key words: lumped mass; Stokes problem; Crank-Nicolson scheme

张斐然. 非定常Stokes问题的Crank-Nicolson格式下质量集中非协调元方法[J]. J4, 2011, 46(12): 33-38.

ZHANG Fei-ran. The lumped mass nonconforming finite element method of the Crank-Nicolson scheme for nonstationary Stokes problem[J]. J4, 2011, 46(12): 33-38.

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