Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642802 | Journal of Computational and Applied Mathematics | 2007 | 28 Pages |
Abstract
In this paper, a discontinuous Galerkin method for the two-dimensional time-harmonic Maxwell equations in composite materials is presented. The divergence constraint is taken into account by a regularized variational formulation and the tangential and normal jumps of the discrete solution at the element interfaces are penalized. Due to an appropriate mesh refinement near exterior and interior corners, the singular behaviour of the electromagnetic field is taken into account. Optimal error estimates in a discrete energy norm and in the L2L2-norm are proved in the case where the exact solution is singular.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stephanie Lohrengel, Serge Nicaise,