5 citations · 13 across the 8 of their papers we have counts for
4 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…
A decomposition method to construct cubature formulae of degree 3
Zhaoliang Meng, Zhongxuan Luo
Numerical integration formulas in -dimensional Euclidean space of degree three are discussed. For the integrals with permutation symmetry we present a method to construct its th…
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…
On the Singularity of Multivariate Hermite Interpolation
Zhaoliang Meng, Zhongxuan Luo
In this paper we study the singularity of multivariate Hermite interpolation of type total degree. We present a method to judge the singularity of the interpolation scheme consider…