Nonconforming Virtual Element Method for $2m$-th Order Partial Differential Equations in ${\mathbb{R}}^n$

Long Chen, Xuehai Huang

A unified construction of the $H^m$-nonconforming virtual elements of any order $k$ is developed on any shape of polytope in ${\mathbb{R}}^n$ with constraints $m\le n$ and $k\ge m$.…