Absorbing PML boundary layers for wave-like equations
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Nodal high-order methods on unstructured grids
Journal of Computational Physics
Locally divergence-free discontinuous Galerkin methods for the Maxwell equations
Journal of Computational Physics
Journal of Computational Physics
High-order RKDG Methods for Computational Electromagnetics
Journal of Scientific Computing
Interior penalty method for the indefinite time-harmonic Maxwell equations
Numerische Mathematik
Interior penalty discontinuous Galerkin method for Maxwell's equations: Energy norm error estimates
Journal of Computational and Applied Mathematics
Error analysis of mixed finite element methods for wave propagation in double negative metamaterials
Journal of Computational and Applied Mathematics
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma
Journal of Scientific Computing
Metamaterials: Theory, Design, and Applications
Metamaterials: Theory, Design, and Applications
Recent advances in time-domain maxwell’s equations in metamaterials
HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications
Discontinuous Galerkin Methods: Theory, Computation and Applications
Discontinuous Galerkin Methods: Theory, Computation and Applications
Journal of Computational Physics
Hi-index | 7.30 |
The discontinuous Galerkin method has proved to be an accurate and efficient way to numerically solve many differential equations. In this paper, we extend this method to solve the time-dependent Maxwell's equations when metamaterials and perfectly matched layers are involved. Numerical results are presented to demonstrate that our method is not only simple to implement, but also quite effective in solving Maxwell's equations in complex media.