Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (4): 441-445 .doi: https://doi.org/10.1007/s10483-007-0403-y

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Mathematical analysis of EEP method for one-dimensional finite element postprocessing

ZHAO Qing-hua, ZHOU Shu-zi, ZHU Qi-ding   

    1. College of Mathematics and Economatics, Hunan University,Changsha 410082, P. R. China;
    2. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P. R. China
  • Received:2006-03-31 Revised:2007-02-06 Online:2007-04-18 Published:2007-04-18
  • Contact: ZHAO Qing-hua

Abstract: For a class of two-point boundary value problems, by virtue of one-dimensional projection interpolation, it is proved that the nodal recovery derivative obtained by Yuan's element energy projection (EEP) method has the accuracy O(hmin{2k,k+4} ). The theoretical analysis coincides the reported numerical results.

Key words: null

2010 MSC Number: 

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