@Article{JCM-25-631, author = {Ming Wang and Xiangrui Meng}, title = {A Robust Finite Element Method for a 3-D Elliptic Singular Perturbation Problem}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {6}, pages = {631--644}, abstract = {
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.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8719.html} }