A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics

33Citations
Citations of this article
15Readers
Mendeley users who have this article in their library.

Abstract

In this paper, we discuss the formulation, stability and validation of a high-order non-dissipative discontinuous Galerkin (DG) method for solving Maxwell's equations on non-conforming simplex meshes. The proposed method combines a centered approximation for the numerical fluxes at inter element boundaries, with either a second-order or a fourth-order leap-frog time integration scheme. Moreover, the interpolation degree is defined at the element level and the mesh is refined locally in a non-conforming way resulting in arbitrary-level hanging nodes. The method is proved to be stable and conserves a discrete counterpart of the electromagnetic energy for metallic cavities. Numerical experiments with high-order elements show the potential of the method. © 2009 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Fahs, H., & Lanteri, S. (2010). A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics. Journal of Computational and Applied Mathematics, 234(4), 1088–1096. https://doi.org/10.1016/j.cam.2009.05.015

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free