Interpolation and stability properties of low-order face and edge virtual element spaces-Reference-Cited by-同舟云学术

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

Published:2022-03-28 Issue:2 Volume:43 Page:828-851
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Beirão da Veiga L¹²,Mascotto L¹³

Affiliation:

1. Dip. di Matematica e Applicazioni , Università degli Studi di Milano-Bicocca, Italy

2. IMATI-CNR, 27100 Pavia , Italy

3. Fakultät für Mathematik , Universität Wien, 1090 Vienna, AustriaIMATI-CNR, 27100 Pavia, Italy

Abstract

Abstract 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.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

https://academic.oup.com/imajna/article-pdf/43/2/828/49629889/drac008.pdf

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