| Speaker: | Fengyang Li, Rensselaer Polytechnic Institute |
| Title: | Nonconforming methods for Maxwell source problems and eigenproblems |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 627 |
Partially motivated by the observation that the curl-curl operator behaves differently when it is applied to the divergence-free fields and the gradient fields in the Hodge decomposition of a function, we introduce the reduced time-harmonic Maxwell (RTHM) equations whose solution is the divergence-free component of the solution to the time-harmonic Maxwell equations. Two schemes are formulated for numerical solving the RTHM system. One is using the classical nonconforming finite elements, the other is based on the interior penalty type discontinuous Galerkin methods. The operators in these schemes naturally define two Maxwell eigensolvers which are spurious free. Theoretical and numerical results will be presented to demonstrate the performance of these methods.
Last revised: 02/15/07 By: christov@math