Virtual Enriching Operators
arXiv:1903.0847617 citationsh-index: 42
Originality Synthesis-oriented
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Provides theoretical tools for researchers working on nonstandard finite element methods, but the contribution is incremental as it extends existing operator constructions to virtual element spaces.
The paper constructs bounded linear operators mapping H1 conforming Lagrange finite element spaces to H2 conforming virtual element spaces in 2D and 3D, providing tools for analyzing nonstandard finite element methods.
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.