@Article{JCM-32-687, author = {}, title = {Uniformly Convergent Nonconforming Element for 3-D Fourth Order Elliptic Singular Perturbation Problem}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {6}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1405-m4303}, url = {http://global-sci.org/intro/article_detail/jcm/8409.html} }