Volume 29, Issue 2
A Note on the Nonconforming Finite Elements for Elliptic Problems

Boran Gao, Shuo Zhang & Ming Wang

J. Comp. Math., 29 (2011), pp. 215-226

Published online: 2011-04

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  • Abstract

In this paper, a class of rectangular finite elements for 2m-th-oder elliptic boundary value problems in n-dimension (m,n\geq1) is proposed in a canonical fashion, which includes the (2m-1)-th Hermite interpolation element (n=1), the n-linear finite element (m=1) and the Adini element (m=2). A nonconforming triangular finite element for the plate bending problem, with convergent order \mathcal{O}(h^2), is also proposed.

  • Keywords

Nonconforming finite element Elliptic boundary value problem Plate bending problem

  • AMS Subject Headings

65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-29-215, author = {Boran Gao, Shuo Zhang and Ming Wang}, title = {A Note on the Nonconforming Finite Elements for Elliptic Problems}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {2}, pages = {215--226}, abstract = { In this paper, a class of rectangular finite elements for 2m-th-oder elliptic boundary value problems in n-dimension (m,n\geq1) is proposed in a canonical fashion, which includes the (2m-1)-th Hermite interpolation element (n=1), the n-linear finite element (m=1) and the Adini element (m=2). A nonconforming triangular finite element for the plate bending problem, with convergent order \mathcal{O}(h^2), is also proposed.}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1009-m3246}, url = {http://global-sci.org/intro/article_detail/jcm/8474.html} }
TY - JOUR T1 - A Note on the Nonconforming Finite Elements for Elliptic Problems AU - Boran Gao, Shuo Zhang & Ming Wang JO - Journal of Computational Mathematics VL - 2 SP - 215 EP - 226 PY - 2011 DA - 2011/04 SN - 29 DO - http://doi.org/10.4208/jcm.1009-m3246 UR - https://global-sci.org/intro/article_detail/jcm/8474.html KW - Nonconforming finite element KW - Elliptic boundary value problem KW - Plate bending problem AB - In this paper, a class of rectangular finite elements for 2m-th-oder elliptic boundary value problems in n-dimension (m,n\geq1) is proposed in a canonical fashion, which includes the (2m-1)-th Hermite interpolation element (n=1), the n-linear finite element (m=1) and the Adini element (m=2). A nonconforming triangular finite element for the plate bending problem, with convergent order \mathcal{O}(h^2), is also proposed.
Boran Gao, Shuo Zhang & Ming Wang. (1970). A Note on the Nonconforming Finite Elements for Elliptic Problems. Journal of Computational Mathematics. 29 (2). 215-226. doi:10.4208/jcm.1009-m3246
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