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

L. Beirão da Veiga | Zendy; Lorenzo Mascotto | Zendy

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

Author(s) -

L. Beirão da Veiga,

Lorenzo Mascotto

Publication year - 2022

Publication title -

ima journal of numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.672

H-Index - 66

eISSN - 1464-3642

pISSN - 0272-4979

DOI - 10.1093/imanum/drac008

Subject(s) - mathematics , bilinear interpolation , discretization , interpolation (computer graphics) , polygon mesh , stability (learning theory) , element (criminal law) , face (sociological concept) , enhanced data rates for gsm evolution , mathematical analysis , geometry , pure mathematics , computer graphics (images) , computer science , artificial intelligence , social science , statistics , machine learning , sociology , political science , law , animation

We analyse the interpolation properties of two-dimensional and three-dimensional low-order virtual element (VE) 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 VE discretization of problems in electromagnetism.

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