Modified Morley element method for a fourth order elliptic singular perturbation problem

Ming Wang; Jin Chao Xu; Yu Cheng Hu

Modified Morley element method for a fourth order elliptic singular perturbation problem

Ming Wang, Jin Chao Xu, Yu Cheng Hu

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

Abstract

This paper proposes a modified Morley element method for a fourth order elliptic singular perturbation problem. The method also uses Morley element or rectangle Morley element, but linear or bilinear approximation of finite element functions is used in the lower part of the bilinear form. It is shown that the modified method converges uniformly in the perturbation parameter.

Original language	English (US)
Pages (from-to)	113-120
Number of pages	8
Journal	Journal of Computational Mathematics
Volume	24
Issue number	2
State	Published - Mar 1 2006
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 = "Modified Morley element method for a fourth order elliptic singular perturbation problem",

abstract = "This paper proposes a modified Morley element method for a fourth order elliptic singular perturbation problem. The method also uses Morley element or rectangle Morley element, but linear or bilinear approximation of finite element functions is used in the lower part of the bilinear form. It is shown that the modified method converges uniformly in the perturbation parameter.",

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volume = "24",

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AU - Wang, Ming

AU - Xu, Jin Chao

AU - Hu, Yu Cheng

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PY - 2006/3/1

Y1 - 2006/3/1

N2 - This paper proposes a modified Morley element method for a fourth order elliptic singular perturbation problem. The method also uses Morley element or rectangle Morley element, but linear or bilinear approximation of finite element functions is used in the lower part of the bilinear form. It is shown that the modified method converges uniformly in the perturbation parameter.

AB - This paper proposes a modified Morley element method for a fourth order elliptic singular perturbation problem. The method also uses Morley element or rectangle Morley element, but linear or bilinear approximation of finite element functions is used in the lower part of the bilinear form. It is shown that the modified method converges uniformly in the perturbation parameter.

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M3 - Article

SN - 0254-9409

VL - 24

SP - 113

EP - 120

JO - Journal of Computational Mathematics

JF - Journal of Computational Mathematics

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ER -

Modified Morley element method for a fourth order elliptic singular perturbation problem

Abstract

Bibliographical note

ASJC Scopus subject areas

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