Virtual elements for Maxwell's equations

被引：29

作者：

da Veiga, L. Beirao ^{[1
]}

Dassi, F. ^{[1
]}

Manzini, G. ^{[2
]}

Mascotto, L. ^{[3
]}

机构：

[1] Univ Milano Bicocca, Dip Matemat & Applicaz, Milan, Italy

[2] CNR, Ist Matemat Applicata & Tecnol Informat, Pavia, Italy

[3] Univ Wien, Fak Math, Vienna, Austria

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2022年 / 116卷

基金：

奥地利科学基金会; 欧洲研究理事会;

关键词：

Polyhedral meshes; Virtual element method; Maxwell's equations; APPROXIMATION; SCATTERING; BODIES;

D O I：

10.1016/j.camwa.2021.08.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：82 / 99

页数：18

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