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Volume 21, Issue 4
Trapezoidal Plate Bending Element with Double Set Parameters

Shao-Chun Chen, Dong-Yang Shi & I chiro Hagiwara

J. Comp. Math., 21 (2003), pp. 513-518.

Published online: 2003-08

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  • Abstract

Using double set parameter method, a 12-parameter trapezoidal plate bending element is presented. The first set of degrees of freedom, which make the element convergent, are the values at the four vertices and the middle points of the four sides together with the mean values of the outer normal derivatives along four sides. The second set of degrees of freedom, which make the number of unknowns in the resulting discrete system small and computation convenient are values and the first derivatives at the four vertices of the element. The convergence of the element is proved.

  • Keywords

Plate bending problem, Nonconforming finite element, Double set parameter method.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-513, author = {Chen , Shao-ChunShi , Dong-Yang and Hagiwara , I chiro}, title = {Trapezoidal Plate Bending Element with Double Set Parameters}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {4}, pages = {513--518}, abstract = {

Using double set parameter method, a 12-parameter trapezoidal plate bending element is presented. The first set of degrees of freedom, which make the element convergent, are the values at the four vertices and the middle points of the four sides together with the mean values of the outer normal derivatives along four sides. The second set of degrees of freedom, which make the number of unknowns in the resulting discrete system small and computation convenient are values and the first derivatives at the four vertices of the element. The convergence of the element is proved.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10255.html} }
TY - JOUR T1 - Trapezoidal Plate Bending Element with Double Set Parameters AU - Chen , Shao-Chun AU - Shi , Dong-Yang AU - Hagiwara , I chiro JO - Journal of Computational Mathematics VL - 4 SP - 513 EP - 518 PY - 2003 DA - 2003/08 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10255.html KW - Plate bending problem, Nonconforming finite element, Double set parameter method. AB -

Using double set parameter method, a 12-parameter trapezoidal plate bending element is presented. The first set of degrees of freedom, which make the element convergent, are the values at the four vertices and the middle points of the four sides together with the mean values of the outer normal derivatives along four sides. The second set of degrees of freedom, which make the number of unknowns in the resulting discrete system small and computation convenient are values and the first derivatives at the four vertices of the element. The convergence of the element is proved.

Chen , Shao-ChunShi , Dong-Yang and Hagiwara , I chiro. (2003). Trapezoidal Plate Bending Element with Double Set Parameters. Journal of Computational Mathematics. 21 (4). 513-518. doi:
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