A framework for implementing general virtual element spaces
share
In this paper we develop a framework for the construction and implementation of general virtual element spaces based on projections built from constraint least squares problems. We introduce the concept of a VEM tuple which encodes all the necessary building blocks to formulate the projections. Using this generic approach we present a wide range of virtual element spaces with additional properties. We showcase this approach with examples and build H^k-conforming spaces for k=1,2 as well as divergence and curl free spaces. The framework has the advantage of being easily integrated into any existing finite element package and we demonstrate this within the DUNE framework.
READ FULL TEXT
