Stabilized interior penalty methods for the time-harmonic Maxwell equations
| Author(s) | Perugia, I. | |
| Author(s) | Schötzau, D. | |
| Author(s) | Monk, Peter B. | |
| Date Accessioned | 2005-02-16T20:39:24Z | |
| Date Available | 2005-02-16T20:39:24Z | |
| Publication Date | 2002 | |
| Abstract | We propose stabilized interior penalty discontinuous Galerkin methods for the indefinite time–harmonic Maxwell system. The methods are based on a mixed formulation of the boundary value problem chosen to provide control on the divergence of the electric field. We prove optimal error estimates for the methods in the special case of smooth coefficients and perfectly conducting boundary using a duality approach. | en |
| Sponsor | Supported in part by the NSF (Grant DMS-9807491) and by the Supercomputing Institute of the University of Minnesota. This work was carried out when the author was visiting the School of Mathematics, University of Minnesota. | en |
| Extent | 247999 bytes | |
| MIME type | application/pdf | |
| URL | http://udspace.udel.edu/handle/19716/331 | |
| Language | en_US | |
| Publisher | Department of Mathematical Sciences | en |
| Part of Series | Technical Report: 2002-07 | |
| Keywords | Finite elements | en |
| Keywords | discontinuous Galerkin methods | en |
| Keywords | interior penalty methods | en |
| Keywords | time-harmonic Maxwell’s equations | en |
| Title | Stabilized interior penalty methods for the time-harmonic Maxwell equations | en |
| Type | Technical Report | en |