Minimal consistent finite element space for the biharmonic equation on quadrilateral grids

Abstract

In this paper, a finite element space is presented on quadrilateral grids which can provide consistent discretization for the biharmonic equations. The space consists of piecewise quadratic polynomials and is of minimal degree for the variational problem.

References in corpus (1)

• Nonconforming Finite Element Spaces for $2m$-th Order Partial Differential Equations on ${\mathbb{R}}^n$ Simplicial Grids When $m=n+1$

Cited by in corpus (1)

• On optimal finite element schemes for biharmonic equation