TY - JOUR T1 - An Anisotropic Nonconforming Element for Fourth Order Elliptic Singular Perturbation Problem JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 766 EP - 784 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/751.html KW - Nonconforming finite element, Double set parameter method, Anisotropic, Fourth order elliptic singular perturbation problem, Uniform convergence. AB -

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.