Discontinuous Galerkin methods for Maxwell's equations in the time domain

Gary Cohen, Xavier Ferrieres and Sébastien Pernet

2006

Publication type:

Paper in peer-reviewed journals

Journal:

Comptes Rendus Physique, vol. 7, pp. 494-500

DOI:

10.1016/j.crhy.2006.03.004

HAL:

hal-00977104

Abstract:

In this article, we describe a new high-order Discontinuous Galerkin approach to Maxwell's equations in the time domain. This approach is based on hexahedral meshes and uses a mass-lumping technique. Thanks to the orthogonality of the basis functions and a judicious choice of the approximation spaces, it provides an efficient solver for these equations in terms of storage and CPU time.

BibTeX:

@article{Coh-Fer-Per-2006,
    author={Gary Cohen and Xavier Ferrieres and Sébastien Pernet },
    title={Discontinuous Galerkin methods for Maxwell's equations in the 
           time domain },
    doi={10.1016/j.crhy.2006.03.004 },
    journal={Comptes Rendus Physique },
    year={2006 },
    volume={7 },
    pages={494--500},
}