We construct bounded linear operators that map \(H^1\) conforming Lagrange finite element spaces to \(H^2\) conforming virtual element spaces in two and three dimensions. These operators are useful for the analysis of nonstandard finite element methods.

中文翻译：

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虚拟充实运营商

我们构造了有界线性算子，它们在二维和三维中将符合\（H ^ 1 \）的Lagrange有限元素空间映射到符合\（H ^ 2 \）的虚拟元素空间。这些算子对于分析非标准有限元方法很有用。