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.
Beirao da Veiga, L., Dassi, F., Manzini, G., Mascotto, L. (2022). Virtual elements for Maxwell's equations. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 116(15 June 2022), 82-99 [10.1016/j.camwa.2021.08.019].
Virtual elements for Maxwell's equations
Beirao da Veiga, L
;Dassi, F
;Mascotto, L
2022
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.
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