Science in China Series A: Mathematics

, Volume 47, Supplement 1, pp 136–145 | Cite as

Superconvergence and asymptotic expansions for linear finite element approximations on crisscross mesh



In this paper, we discuss the error estimation of the linear finite element solution on criss-cross mesh. Using space orthogonal decomposition techniques, we obtain an asymptotic expansion and superconvergence results of the finite element solution. We first prove that the asymptotic expansion has different forms on the two kinds of nodes and then derive a high accuracy combination formula of the approximate derivatives.


criss-cross mesh linear finite element superconvergence 


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Copyright information

© Science in China Press 2004

Authors and Affiliations

  1. 1.Department of MathematicsXiangtan UniversityXiangtanChina

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