平面弹性问题及Stokes问题的一个矩形有限元方法

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 8-15.

平面弹性问题及Stokes问题的一个矩形有限元方法

1. Department of Mathematics, Zhengzhou University2. E & A College, Hebei Normal University of Science and Technology

收稿日期:2007-10-17 出版日期:2010-03-30 发布日期:2023-06-07
作者简介:CHEN Shao-chun(1947- ), male, native of Bozhou, Anhui, a professor of Zhengzhou University, Ph.D., engages in computational mathematics; ZHANG Bu-ying(1981- ), female, native of Zhangjiakou, Hebei, M.S.D., engages in computational mathematics.
基金资助:
Supported by NSF of China(10771198； 10590353)；

A Rectangular Finite Element for Planar Elasticity and Stokes Problems

1. Department of Mathematics, Zhengzhou University2. E & A College, Hebei Normal University of Science and Technology

Received:2007-10-17 Online:2010-03-30 Published:2023-06-07
About author:CHEN Shao-chun(1947- ), male, native of Bozhou, Anhui, a professor of Zhengzhou University, Ph.D., engages in computational mathematics; ZHANG Bu-ying(1981- ), female, native of Zhangjiakou, Hebei, M.S.D., engages in computational mathematics.
Supported by:
Supported by NSF of China(10771198； 10590353)；

摘要/Abstract

摘要： In this paper, a locking-free nonconforming rectangular finite element scheme is presented for the planar elasticity problem with pure displacement boundary condition. Meanwhile, we prove that this element is also convergent for stationary Stokes problem.

关键词: locking-free, the planar elasticity problem, pure displacement boundary condition, Stokes problem

Abstract: In this paper, a locking-free nonconforming rectangular finite element scheme is presented for the planar elasticity problem with pure displacement boundary condition. Meanwhile, we prove that this element is also convergent for stationary Stokes problem.

Key words: locking-free, the planar elasticity problem, pure displacement boundary condition, Stokes problem

中图分类号:

O242.21

陈绍春, 张步英. 平面弹性问题及Stokes问题的一个矩形有限元方法[J]. 数学季刊, 2010, 25(1): 8-15.

CHEN Shao-chun, ZHANG Bu-ying. A Rectangular Finite Element for Planar Elasticity and Stokes Problems[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 8-15.

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[2]	肖留超, 陈绍春. Stokes问题的一个非协调矩形有限元分析[J]. 数学季刊, 2009, 24(4): 621-627.