Interpolation and stability properties of low order face and edge virtual element spaces
Numerical Analysis
2021-11-30 v4 Numerical Analysis
Abstract
We analyse the interpolation properties of 2D and 3D low order virtual element face and edge spaces, which generalize N\'ed\'elec and Raviart-Thomas polynomials to polygonal-polyhedral meshes. Moreover, we investigate the stability properties of the associated discrete bilinear forms, which typically appear in the virtual element discretization of problems in electromagnetism.
Keywords
Cite
@article{arxiv.2011.12834,
title = {Interpolation and stability properties of low order face and edge virtual element spaces},
author = {Lourenço Beirão da Veiga and Lorenzo Mascotto},
journal= {arXiv preprint arXiv:2011.12834},
year = {2021}
}