Interpolation and stability properties of low order face and edge virtual element spaces

2020/11/25 by da Veiga, Lourenço Beirão, Mascotto, Lorenzo · 1 citation
#65N12 #65N15 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2011.12834

Abstract

We analyse the interpolation properties of 2D and 3D low order virtual element face and edge spaces, which generalize Nédélec and Raviart-Thomas polynomials to polygonal-polyhedral meshes. Moreover, we investigate the stability properties of the associated L² discrete bilinear forms, which typically appear in the virtual element discretization of problems in electromagnetism.

Cited by

• The Neural Approximated Virtual Element Method for Elasticity Problems

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