54 citations · 150 across the 13 of their papers we have counts for
3 papers · 1 filter
A new cubic nonconforming finite element on rectangles
Zhaoliang Meng, Zhongxuan Luo, Dongwoo Sheen
A new nonconforming rectangle element with cubic convergence for the energy norm is introduced. The degrees of freedom (DOFs) are defined by the twelve values at the three Gauss po…
Convergence analysis of a family of 14-node brick elements
Zhaoliang Meng, Zhongxuan Luo, Dongwoo Sheen +1
In this paper, we will give convergence analysis for a family of 14-node elements which was proposed by I. M. Smith and D. J. Kidger in 1992. The 14 DOFs are taken as the value at…
A class of nonparametric DSSY nonconforming quadrilateral elements
Youngmok Jeon, Hyun Nam, Dongwoo Sheen +1
A new class of nonparametric nonconforming quadrilateral finite elements is introduced which has the midpoint continuity and the mean value continuity at the interfaces of elements…