Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1253-1265.

• Articles • Previous Articles     Next Articles

A Simplified and Stabilized Second |Order Mixed Finite Element Formulation Based on Bubble Functions for Plane Elasticity Problems

 AN Jing1, SUN Ping1, LUO Zhen-Dong2   

  1. 1.School of Mathematics and Computer Science, Guizhou Normal University, Guiyang |550001;
    2.School of Mathematics and Physics, North China Electric Power University, Beijing 102206
  • Received:2009-12-19 Revised:2010-03-22 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    国家自然科学基金(10871022, 11061009)和河北省自然科学基金(A2010001663)资助

Abstract:

In this paper, a stabilized second order mixed finite element formulation based on bubble functions for plane elasticity problems is studied, and a simplified second order mixed finite element formulation with less freedom degrees is obtained by eliminating all bubble functions. It is shown by analyzing error that the convergence of the simplified and stabilized second order mixed finite element formulation eliminated all bubble functions is the same as that of the stabilized second order mixed finite element formulation with bubble functions, but it can save 18Np freedom degrees (where Np is the number of vertices of triangularization).

Key words: Plane elasticity problem, Mixed finite element formulation, Simplified and stabilized formulation, Error estimate

CLC Number: 

  • 65N30
Trendmd