Serendipity Face and Edge VEM Spaces

Abstract

We extend the basic idea of Serendipity Virtual Elements from the previous case (by the same authors) of nodal ($H^1$-conforming) elements, to a more general framework. Then we apply the general strategy to the case of $H(div)$ and $H(curl)$ conforming Virtual Element Methods, in two and three dimensions.

References in corpus (1)

• A Hybrid High-Order method for the incompressible Navier--Stokes equations based on Temam's device

Cited by in corpus (3)

• Lowest order Virtual Element approximation of magnetostatic problems
• Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes
• Nonstandard finite element de Rham complexes on cubical meshes