Year: 2010
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-751
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 4 : pp. 766–784
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Nonconforming finite element Double set parameter method Anisotropic Fourth order elliptic singular perturbation problem Uniform convergence.