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Volume 7, Issue 4
An Anisotropic Nonconforming Element for Fourth Order Elliptic Singular Perturbation Problem

S. Chen, M. Liu & Z. Qiao

Int. J. Numer. Anal. Mod., 7 (2010), pp. 766-784.

Published online: 2010-07

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  • 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.

  • Keywords

Nonconforming finite element, Double set parameter method, Anisotropic, Fourth order elliptic singular perturbation problem, Uniform convergence.

  • AMS Subject Headings

65N12, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-7-766, author = {S. Chen, M. Liu and Z. Qiao}, 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/}, url = {http://global-sci.org/intro/article_detail/ijnam/751.html} }
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 -

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.

S. Chen, M. Liu and Z. Qiao. (2010). An Anisotropic Nonconforming Element for Fourth Order Elliptic Singular Perturbation Problem. International Journal of Numerical Analysis and Modeling. 7 (4). 766-784. doi:
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