An anisotropic nonconforming element for fourth order elliptic singular perturbation problem

Shaochun Chen; Mingfang Liu; Zhonghua Qiao

An anisotropic nonconforming element for fourth order elliptic singular perturbation problem

Shaochun Chen, Mingfang Liu, Zhonghua Qiao

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

13 Citations (Scopus)

Abstract

A new nonconforming element constructed by the Double Set Parameter method, is applied to the fourth order elliptic singular perturbation problem. The convergence uniformly in the perturbation parameter, is proved under the anisotropic meshes and optimal convergence rate O(h) is obtained. Numerical results are given to demonstrate validity of our theoretical analysis.

Original language	English
Pages (from-to)	766-784
Number of pages	19
Journal	International Journal of Numerical Analysis and Modeling
Volume	7
Issue number	4
Publication status	Published - Oct 2010

Scopus Subject Areas

Numerical Analysis

User-Defined Keywords

Anisotropic
Double set parameter method
Fourth order elliptic singular perturbation problem
Nonconforming finite element
Uniform convergence

Access to Document

http://www.math.ualberta.ca/ijnam/Volume-7-2010/No-4-10/2010-04-11.pdf

Cite this

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title = "An anisotropic nonconforming element for fourth order elliptic singular perturbation problem",

abstract = "A new nonconforming element constructed by the Double Set Parameter method, is applied to the fourth order elliptic singular perturbation problem. The convergence uniformly in the perturbation parameter, is proved under the anisotropic meshes and optimal convergence rate O(h) is obtained. Numerical results are given to demonstrate validity of our theoretical analysis.",

keywords = "Anisotropic, Double set parameter method, Fourth order elliptic singular perturbation problem, Nonconforming finite element, Uniform convergence",

author = "Shaochun Chen and Mingfang Liu and Zhonghua Qiao",

note = "Funding information: This research was supported by NSFC (No. 10771198, No. 10590353). Publisher copyright: {\textcopyright} 2010 Institute for Scientific Computing and Information",

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AU - Chen, Shaochun

AU - Liu, Mingfang

AU - Qiao, Zhonghua

PY - 2010/10

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N2 - A new nonconforming element constructed by the Double Set Parameter method, is applied to the fourth order elliptic singular perturbation problem. The convergence uniformly in the perturbation parameter, is proved under the anisotropic meshes and optimal convergence rate O(h) is obtained. Numerical results are given to demonstrate validity of our theoretical analysis.

AB - A new nonconforming element constructed by the Double Set Parameter method, is applied to the fourth order elliptic singular perturbation problem. The convergence uniformly in the perturbation parameter, is proved under the anisotropic meshes and optimal convergence rate O(h) is obtained. Numerical results are given to demonstrate validity of our theoretical analysis.

KW - Anisotropic

KW - Double set parameter method

KW - Fourth order elliptic singular perturbation problem

KW - Nonconforming finite element

KW - Uniform convergence

UR - http://www.math.ualberta.ca/ijnam/Volume7.htm

UR - http://www.scopus.com/inward/record.url?scp=77952920937&partnerID=8YFLogxK

M3 - Journal article

AN - SCOPUS:77952920937

SN - 1705-5105

VL - 7

SP - 766

EP - 784

JO - International Journal of Numerical Analysis and Modeling

JF - International Journal of Numerical Analysis and Modeling

IS - 4

ER -

An anisotropic nonconforming element for fourth order elliptic singular perturbation problem

Abstract

Scopus Subject Areas

User-Defined Keywords

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