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Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries

✍ Scribed by Patrick Ciarlet Jr.; Erell Jamelot

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 906 KB
Volume: 226
Category: Article
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2007.05.029

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✦ Synopsis

A few years ago, Costabel and Dauge proposed a variational setting, which allows one to solve numerically the timeharmonic Maxwell equations in 3D geometries with the help of a continuous approximation of the electromagnetic field. In this paper, we investigate how their framework can be adapted to compute the solution to the time-dependent Maxwell equations. In addition, we propose some extensions, such as the introduction of a mixed variational setting and its discretization, to handle the constraint on the divergence of the field.

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