| Speaker: | Dominik Schötzau, University of British Columbia |
| Title: | Interior penalty discontinuous Galerkin methods for the time-harmonic Maxwell equations |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 628 |
We propose and analyze interior penalty discontinuous Galerkin methods for the numerical discretization of the time-harmonic Maxwell equations. The main advantages of these methods in comparison with conforming finite element approaches lie in their high flexibility in the mesh-design and their accommodation of high-order elements. We derive the methods for the time-harmonic Maxwell equations, and discuss the underlying stability mechanisms. Based on suitable duality arguments, we then derive optimal a-priori error bounds in the energy norm and the L2-norm. Finally, we develop the a-posteriori error estimation for the low-frequency approximation of the Maxwell equations where the resulting bilinear forms are coercive. All our theoretical results are illustrated and verified in numerical experiments.
Last revised: 04/12/07 By: christov@math