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

Xuehai Huang

The $H^m$-nonconforming virtual elements of any order $k$ on any shape of polytope in ${\mathbb{R}}^n$ with constraints $m>n$ and $k\ge m$ are constructed in a universal way. A gener…