Uniformly Convergent Nonconforming Element for 3-D Fourth Order Elliptic Singular Perturbation Problem
Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 6 : pp. 687–695
Abstract
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 $C^0$-cuboid element converges in the energy norm uniformly with respect to the perturbation parameter.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1405-m4303
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 6 : pp. 687–695
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Nonconforming finite element Singular perturbation problem Uniform error estimates.
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