Article

Science in China Series A: Mathematics

, Volume 42, Issue 9, pp 917-924

Superconvergence for triangular finite elements

  • Chen Chuanmiao Affiliated withInstitute of Computation, Hunan Normal University

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Abstract

Based on two classes of the orthogonal expansions in a triangle, superconvergence of m-degree triangular finite element solution (for evenm) and its average gradient (for oddm) at symmetric points for a second order elliptic problem are studied. There are no other superconvergence points independent of the coefficients of elliptic equation.

Keywords

superconvergence triangular element any degree