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

11/25/2020

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by   Lourenco Beirao da Veiga, et al.

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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 L^2 discrete bilinear forms, which typically appear in the virtual element discretization of problems in electromagnetism.