A projection penalization approach for the high-order DG-FEM in the time domain
Article first published online: 10 SEP 2011
Copyright 2011 by the American Geophysical Union.
Volume 46, Issue 5, October 2011
How to Cite
2011), A projection penalization approach for the high-order DG-FEM in the time domain, Radio Sci., 46, RS0E10, doi:10.1029/2011RS004671., and (
- Issue published online: 10 SEP 2011
- Article first published online: 10 SEP 2011
- Manuscript Accepted: 7 JUN 2011
- Manuscript Revised: 2 MAY 2011
- Manuscript Received: 30 JAN 2011
- Maxwell equations;
- discontinuous Galerkin;
- time domain
 We investigate the Discontinuous Galerkin-Finite Element Method (DG-FEM) for the solution of Maxwell's equations in the time domain. The charge conservation laws are known to be violated by this method which consequently gives rise to spurious numerical solutions. It is, however, possible to introduce additional constrains in the formulation which impose charge conservation either exactly or approximately. In this work, a new approach based on a topological orthogonal projector into a high-order H(curl)-conforming approximation space is proposed. Using this approach we derive a constrained DG-FEM formulation which is strictly free of spurious modes. Furthermore, we construct a time domain penalization scheme which allows to separate the spurious modes related to unphysical charges from the physical solutions while maintaining accuracy and energy conservation.