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Volume 4, Issue 1
Convergence and Superconvergence of a Nonconforming Finite Element on Anisotropic Meshes

S. Mao, S. Chen & D. Shi

Int. J. Numer. Anal. Mod., 4 (2007), pp. 16-38.

Published online: 2007-04

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  • Abstract

The main aim of this paper is to study the error estimates of a nonconforming finite element for general second order problems, in particular, the superconvergence properties under anisotropic meshes. Some extrapolation results on rectangular meshes are also discussed. Finally, numerical results are presented, which coincides with our theoretical analysis perfectly.

  • Keywords

nonconforming finite element, anisotropic meshes, superconvergence, extrapolation.

  • AMS Subject Headings

65N30, 65N15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-4-16, author = {}, title = {Convergence and Superconvergence of a Nonconforming Finite Element on Anisotropic Meshes}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {1}, pages = {16--38}, abstract = {

The main aim of this paper is to study the error estimates of a nonconforming finite element for general second order problems, in particular, the superconvergence properties under anisotropic meshes. Some extrapolation results on rectangular meshes are also discussed. Finally, numerical results are presented, which coincides with our theoretical analysis perfectly.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/848.html} }
TY - JOUR T1 - Convergence and Superconvergence of a Nonconforming Finite Element on Anisotropic Meshes JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 16 EP - 38 PY - 2007 DA - 2007/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/848.html KW - nonconforming finite element, anisotropic meshes, superconvergence, extrapolation. AB -

The main aim of this paper is to study the error estimates of a nonconforming finite element for general second order problems, in particular, the superconvergence properties under anisotropic meshes. Some extrapolation results on rectangular meshes are also discussed. Finally, numerical results are presented, which coincides with our theoretical analysis perfectly.

S. Mao, S. Chen & D. Shi. (1970). Convergence and Superconvergence of a Nonconforming Finite Element on Anisotropic Meshes. International Journal of Numerical Analysis and Modeling. 4 (1). 16-38. doi:
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