UNIFORMLY CONVERGENT NONCONFORMING ELEMENT FOR 3-D FOURTH ORDER ELLIPTIC SINGULAR PERTURBATION PROBLEM 被引量：1

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

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摘要 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. 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.

作者 Hongru Chen Shaochun Chen

机构地区 College of Science Department of Mathematics

出处《Journal of Computational Mathematics》 SCIE CSCD 2014年第6期687-695,共9页 计算数学（英文）

关键词 Nonconforming finite element Singular perturbation problem Uniform errorestimates. Nonconforming finite element, Singular perturbation problem, Uniform errorestimates.

分类号 O241.81 [理学—计算数学] O241.82 [理学—计算数学]

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参考文献3

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二级参考文献11

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共引文献9

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6王琳,罗鲲,张世全.四阶奇异摄动问题的弱Galerkin有限元法[J].四川大学学报（自然科学版）,2018,55(6):1141-1147. 被引量：1
7周瑞月,黄学海,王文庆.二阶椭圆问题基于Morley-Wang-Xu元离散的超惩罚法[J].温州大学学报（自然科学版）,2017,38(3):23-29.
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引证文献1

1刘凯,黄学海,王文庆.四阶椭圆奇异扰动问题混合有限元方法[J].温州大学学报（自然科学版）,2020,41(2):24-30.

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Journal of Computational Mathematics

2014年第6期

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UNIFORMLY CONVERGENT NONCONFORMING ELEMENT FOR 3-D FOURTH ORDER ELLIPTIC SINGULAR PERTURBATION PROBLEM 被引量：1

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