TY - JOUR
T1 - Uniformly Convergent Nonconforming Element for 3-D Fourth Order Elliptic Singular Perturbation Problem
JO - Journal of Computational Mathematics
VL - 6
SP - 687
EP - 695
PY - 2014
DA - 2014/12
SN - 32
DO - http://doi.org/10.4208/jcm.1405-m4303
UR - https://global-sci.org/intro/article_detail/jcm/8409.html
KW - Nonconforming finite element, Singular perturbation problem, Uniform error
estimates.
AB - <p style="text-align: justify;">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.</p>