122 citations · 634 across the 39 of their papers we have counts for
8 papers · 1 filter
High accuracy analysis of a nonconforming discrete Stokes complex over rectangular meshes
Xinchen Zhou, Zhaoliang Meng, Xin Fan +1
This work is devoted to the high accuracy analysis of a discrete Stokes complex over rectangular meshes with a simple structure. The 0-form in the complex is a non nonconform…
Two 11-node nonconforming triangular prism elements for 3D elliptic problems
Xinchen Zhou, Zhaoliang Meng, Xin Fan +1
This work introduces two 11-node triangular prism elements for 3D elliptic problems. The degrees of freedom (DoFs) of both elements are at the vertices and face centroids of a pris…
A nodal type polynomial finite element exact sequence over quadrilaterals
Xinchen Zhou, Zhaoliang Meng, Xin Fan +1
This work proposes two nodal type nonconforming finite elements over convex quadrilaterals, which are parts of a finite element exact sequence. Both elements are of 12 degrees of f…
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…
Constructing Cubature Formulas of Degree 5 with Few Points
Zhaoliang Meng, Zhongxuan Luo
This paper will devote to construct a family of fifth degree cubature formulae for -cube with symmetric measure and -dimensional spherically symmetrical region. The formula f…