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Uniformly convergent C 0 ‐nonconforming triangular prism element for fourth‐order elliptic singular perturbation problem
Author(s) -
Chen Hongru,
Chen Shaochun,
Xiao Liuchao
Publication year - 2014
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21878
Subject(s) - mathematics , triangular prism , singular perturbation , perturbation (astronomy) , norm (philosophy) , mathematical analysis , element (criminal law) , geometry , physics , law , quantum mechanics , political science
In this article, we introduce a C 0 ‐nonconforming triangular prism element for the fourth‐order elliptic singular perturbation problem in three dimensions by using the bubble functions. The element is proved to be convergent in the energy norm uniformly with respect to the perturbation parameter. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1785–1796, 2014