Some n-rectangle nonconforming elements for fourth order elliptic equations

Ming Wang; Zhongci Shi; Jinchao Xu

Some n-rectangle nonconforming elements for fourth order elliptic equations

Ming Wang, Zhongci Shi, Jinchao Xu

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

Abstract

In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in n dimensions.

Original language	English (US)
Pages (from-to)	408-420
Number of pages	13
Journal	Journal of Computational Mathematics
Volume	25
Issue number	4
State	Published - Jul 1 2007
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Computational Mathematics

Cite this

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title = "Some n-rectangle nonconforming elements for fourth order elliptic equations",

abstract = "In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in n dimensions.",

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Y1 - 2007/7/1

N2 - In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in n dimensions.

AB - In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in n dimensions.

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M3 - Article

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JO - Journal of Computational Mathematics

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IS - 4

ER -

Some n-rectangle nonconforming elements for fourth order elliptic equations

Abstract

Bibliographical note

ASJC Scopus subject areas

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