Virtual elements for Maxwell's equations. (15th June 2022)

• Record Type: Journal Article
• Authors: Beirão da Veiga, L.; Dassi, F.; Manzini, G.; Mascotto, L.
• Is Part Of: Computers & mathematics with applications. Volume 116(2022)
• Page Start: 82
• Page End: 99
• Publication Date: 2022-06-15
• Subjects: Polyhedral meshes -- Virtual element method -- Maxwell's equations; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2021.08.019
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: We present a low order virtual element discretization for time dependent Maxwell's equations, which allow for the use of general polyhedral meshes. Both the semi- and fully-discrete schemes are considered. We derive optimal a priori estimates and validate them on a set of numerical experiments. As pivot results, we discuss some novel inequalities associated with de Rahm sequences of nodal, edge, and face virtual element spaces.