TY - JOUR
T1 - A Robust Finite Element Method for a 3-D Elliptic Singular Perturbation Problem
AU - Ming Wang & Xiangrui Meng
JO - Journal of Computational Mathematics
VL - 6
SP - 631
EP - 644
PY - 2007
DA - 2007/12
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8719.html
KW - Finite element, Singular perturbation problem.
AB - <p style="text-align: justify;">This paper proposes a robust finite element method for a three-dimensional fourth-order elliptic singular perturbation problem. The method uses the three-dimensional Morley element and replaces the finite element functions in the part of bilinear form corresponding to the second-order differential operator by a suitable approximation. To give such an approximation, a convergent nonconforming element for the second-order problem is constructed. It is shown that the method converges uniformly in the perturbation parameter.</p>