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

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

doi:10.1007/s10483-007-0403-y

Applied Mathematics and Mechanics >

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

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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 date: 2006-03-31

Revised date: 2007-02-06

Online published: 2007-04-18

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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(h^min{2k,k+4} ). The theoretical analysis coincides the reported numerical results.

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ZHAO Qing-hua;ZHOU Shu-zi;ZHU Qi-ding . Mathematical analysis of EEP method for one-dimensional finite element postprocessing[J]. Applied Mathematics and Mechanics, 2007 , 28(4) : 441 -445 . DOI: 10.1007/s10483-007-0403-y

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