Chinese Quarterly Journal of Mathematics ›› 2016, Vol. 31 ›› Issue (1): 87-95.doi: 10.13371/j.cnki.chin.q.j.m.2016.01.011

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Mixed Finite Element Formats of any Order Based on Bubble Functions for Stationary Stokes Problem

  

  1. 1. School of Mathematical Sciences, Nankai University2. College of Mathematics and Statistics, Henan University3. College of Mathematics and Statistics,Zhengzhou University
  • Received:2016-01-02 Online:2016-03-30 Published:2020-11-18
  • About author:CAO Ji-wei(1986-), male, native of Xiayi, Henan, Ph.D., engages in ¯nite element method and application.
  • Supported by:
    Supported by National Natural Science Foundation of China(11371331); Supported by the Natural Science Foundation of Education Department of Henan Province(14B110018);

Abstract: Mixed element formats of any order based on bubble functions for the stationary Stokes problem are derived in triangular and tetrahedral meshes and the convergence of these formats are proved. 

Key words: mixed finite element method, bubble function, the stationary Stokes problem

CLC Number: