Minimal consistent finite element space for the biharmonic equation on quadrilateral grids
arXiv:1712.0072317 citationsh-index: 12
AI Analysis
This work offers a new, minimal finite element space for solving biharmonic equations on quadrilateral grids, which is important for computational mechanics and PDE solvers.
The paper presents a minimal-degree finite element space on quadrilateral grids that provides consistent discretization for the biharmonic equation, using piecewise quadratic polynomials.
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.