UNIFORMLY CONVERGENT NONCONFORMING ELEMENT FOR 3-D FOURTH ORDER ELLIPTIC SINGULAR PERTURBATION PROBLEM

In this paper, using a bubble function, we construct a cuboid element to solve the fourth order elliptic singular perturbation problem in three dimensions. We prove that the nonconforming CO-cuboid element converges in the energy norm uniformly with respect to the perturbation parameter.

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Bibliographic Details
Published inJournal of computational mathematics Vol. 32; no. 6; pp. 687 - 695
Main Authors Chen, Hongru, Chen, Shaochun
Format Journal Article
LanguageEnglish
Published Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences 01.01.2014
Subjects
3-D
Degrees of freedom
Degrees of polynomials
Finite element method
Interpolation
Polynomials
一致收敛
四阶
奇异摄动问题
椭圆
范数收敛
长方体
非协调元
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Summary:In this paper, using a bubble function, we construct a cuboid element to solve the fourth order elliptic singular perturbation problem in three dimensions. We prove that the nonconforming CO-cuboid element converges in the energy norm uniformly with respect to the perturbation parameter.
Bibliography:Nonconforming finite element, Singular perturbation problem, Uniform errorestimates.
In this paper, using a bubble function, we construct a cuboid element to solve the fourth order elliptic singular perturbation problem in three dimensions. We prove that the nonconforming CO-cuboid element converges in the energy norm uniformly with respect to the perturbation parameter.
11-2126/O1
ISSN:0254-9409
1991-7139
DOI:10.4208/jcm.1405-m4303