期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

平面弹性力学问题的混合元法的泡函数稳定性及其后验误差估计 被引量：1

Bubble Stabilization and Posteriori Error Estimate of MFE Method for Plane Elasticity Problems
下载PDF
导出
摘要 该文讨论平面弹性力学问题的混合元法的泡函数稳定性,并导出基于简化的稳定化格式的一种先验误差估计和后验误差估计．这种简化的稳定化格式较通常的格式节省自由度． In this paper, a bubble stabilization of mixed finite element （MFE） approximation for plane elasticity problems is discussed, and a priori estimate and a posteriori estimate based on a simplified stabilized formulation are derived. This simplified stabilized formulation can save more freedom degrees than usual formulations.
作者 罗振东
机构地区 北京交通大学理学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2006年第6期906-916,共11页 Acta Mathematica Scientia
基金 国家自然科学基金(10471100 40437017) 北京市自然科学基金(1042005) 北京交通大学科技基金资助
关键词 混合有限元法 平面弹性力学问题 先验误差估计和后验误差估计 稳定化格式. Mixed finite element Plane elasticity problems Priori estimate and a posteriori estimate Stabilized formulation.
分类号 O241.4 [理学—计算数学]
  • 相关文献

参考文献9

  • 1Alonso A. Error estimators for the mixed method. Numer Math, 1996, 74:385-395
  • 2Arnold D N, Brezzi F, Douglas Jr J. A new finite element for plane elasticity. Jap J Appl Math, 1984,104(1): 347-367
  • 3Arnold D N, Douglas Jr J, Gupta C P. A family of higher order mixed finite element methods for plane elasticity. Numer Math, 1984, 45:1-22
  • 4Brezzi F, Douglas Jr J, Marini L D. Recent Results oil Mixed Finite Element Methods for Second Order Elliptic Problems. In Vistas in Applied Mathematics, Numerical Analysis, Atmospheric Sciences and Immunology. New York: Springer, 1986
  • 5Brezzi F, Fortin M. Mixed and Hybrid Finite Element Methods. New York: Springer, 1991
  • 6Carstensen C. A posteriori error estimates for mixed finite element method. Math Comp, 1997, 66:465-476
  • 7Carstensen C, Dolzmann G. A posteriori error estimates for mixed FEM in elasticity. Numer Math, 1998,81:187-209
  • 8Ciarlet P G. The Finite Element Method for Elliptic Problems. Amsterdam: North-Holland, 1978
  • 9Falk R S, Osborn J E. Error estimates for mixed methods. RAIRO Numer Anal, 1980, 14:249-277

同被引文献8

  • 1罗振东,刘儒勋.弹性力学问题的混合有限元分析[J].中国科学技术大学学报,1996,26(3):348-352. 被引量：2
  • 2Fraejies de Veubeke B. Displacement and Equilibrium Models the Finite Element Method, Stress Analy- sis//Zienkiewicz O C, Holister G S, eds. New York: Wiley, 1965:145-197.
  • 3Johnson C, Mercier B. Some Equilibrium finite element methods for two-dimensional problems. Numer Math, 1978, 30:103-116.
  • 4Pikaranta J, Stenberg R. Analysis of some mixed finite element methods for plane elasticity equations. Math Comp, 1983, 41(164): 399-423.
  • 5Raviart P A, Thomas J M. A Mixed Finite Element Method for 2nd-order Elliptic Problems. Lecture Notes in Mathematics. Berlin: Springer-Verlag, 1977:292-315.
  • 6Arnold D N, Douglas Jr J, Gupta C P. A family of higher order mixed finite element methods for plane elasticity. Numer Math, 1984, 45:1-22.
  • 7Ciarlet P G. The Finite Element Method for Elliptic Problems. Amsterdam: North-Holland, 1978.
  • 8Falk R S, Osborn J E. Error estimates for mixed methods. RAIRO Numer Anal, 1980, 14:249-277.

引证文献1

数学物理学报（A辑）
2006年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部