Article

Numerische Mathematik

, Volume 106, Issue 2, pp 335-347

First online:

A new class of Zienkiewicz-type non-conforming element in any dimensions

  • Ming WangAffiliated withLMAM, School of Mathematical Sciences, Peking University Email author 
  • , Zhong-ci ShiAffiliated withInstitute of Computational Mathematics, CAS
  • , Jinchao XuAffiliated withLMAM, School of Mathematical Sciences, Peking UniversityDepartment of Mathematics, Pennsylvania State University

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Abstract

In this paper, a new class of Zienkiewicz-type non-conforming finite element, in n spatial dimensions with n ≥ 2, is proposed. The new finite element is proved to be convergent for the biharmonic equation.

Mathematics Subject Classification

65N30