@Article{JCM-25-6, author = {}, 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/2007-JCM-8719}, url = {https://global-sci.com/article/85040/a-robust-finite-element-method-for-a-3-d-elliptic-singular-perturbation-problem} }