TY - JOUR
T1 - An Anisotropic Nonconforming Element for Fourth Order Elliptic Singular Perturbation Problem
AU - S. Chen, M. Liu & Z. Qiao
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 - <p style="text-align: justify;">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.</p>