@Article{IJNAM-7-4, author = {}, title = {An Anisotropic Nonconforming Element for Fourth Order Elliptic Singular Perturbation Problem}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2010}, volume = {7}, number = {4}, pages = {766--784}, abstract = {

A new nonconforming element constructed by the Double Set Parameter method, is applied to the fourth order elliptic singular perturbation problem. The convergence uniformly in the perturbation parameter $\varepsilon$, is proved under the anisotropic meshes and optimal convergence rate $O(h)$ is obtained. Numerical results are given to demonstrate validity of our theoretical analysis.

}, issn = {2617-8710}, doi = {https://doi.org/2010-IJNAM-751}, url = {https://global-sci.com/article/83630/an-anisotropic-nonconforming-element-for-fourth-order-elliptic-singular-perturbation-problem} }