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

Ming Wang; Zhong Ci Shi; Jinchao Xu

doi:10.1007/s00211-007-0063-4

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

Ming Wang, Zhong Ci Shi, Jinchao Xu

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

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.

Original language	English (US)
Pages (from-to)	335-347
Number of pages	13
Journal	Numerische Mathematik
Volume	106
Issue number	2
DOIs	https://doi.org/10.1007/s00211-007-0063-4
State	Published - Apr 2007

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1007/s00211-007-0063-4

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title = "A new class of Zienkiewicz-type non-conforming element in any dimensions",

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.",

author = "Ming Wang and Shi, {Zhong Ci} and Jinchao Xu",

year = "2007",

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AB - 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.

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JO - Numerische Mathematik

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

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