In this paper, a piecewise quadratic finite element method on rectangular grids for H^ 1 H 1
problems is presented. The proposed method can be viewed as a reduced rectangular …

In this paper, a new nonparametric nonconforming quadrilateral finite element is introduced.
This element takes the four edge mean values as the degrees of the freedom and the finite …

It is well known that it is comparatively difficult to design nonconforming finite elements on
quadrilateral meshes by using Gauss-Legendre points on each edge of triangulations. One …

In this paper, we construct new nonconforming finite elements on the meshes consisting of
arbitrary convex quadrilaterals, especially for the quadratic and cubic cases. For each case …

In this paper, a C 0 nonconforming quadrilateral element is proposed to solve the fourth-
order elliptic singular perturbation problem. For each convex quadrilateral Q, the shape …

A nonconforming lowest order Crouzeix-Raviart type finite element, based on the
generalized barycentric coordinates, is constructed on general polygonal (convex or …

In this paper, we generalize one first order nonconforming quadrilateral finite element
proposed by Lin, Tobiska and Zhou to any odd order. We construct degrees of freedom for …

A new nonconforming brick element with quadratic convergence for the energy norm is
introduced. The nonconforming element consists of on a cube [− 1, 1] 3, and 14 degree of …

A new nonconforming brick element is introduced, which only has 13 DOFs locally and takes
as its shape functions space. The vector‐valued version generates, together with a …

A new nonconforming rectangle element with cubic convergence for the energy norm is
introduced. The degrees of freedom (DOFs) are defined by the 12 values at the three Gauss …