A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Explicit Hybrid Time Domain Solver for the Maxwell Equations in 3D
Journal of Scientific Computing
SIAM Journal on Numerical Analysis
Nodal high-order methods on unstructured grids
Journal of Computational Physics
Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
Journal of Computational Physics
Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory
SIAM Journal on Numerical Analysis
Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations
Journal of Computational Physics
Journal of Computational Physics
Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma
Journal of Scientific Computing
Explicit local time-stepping methods for Maxwell's equations
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Interior penalty DG methods for Maxwell's equations in dispersive media
Journal of Computational Physics
Journal of Computational and Applied Mathematics
High-order explicit local time-stepping methods for damped wave equations
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Causal-Path Local Time-Stepping in the discontinuous Galerkin method for Maxwell's equations
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.48 |
In this paper, we present some improvements, in terms of accuracy and speed-up, for a particular well adapted Discontinuous Galerkin method devoted to the time-domain Maxwell equations. First, to reduce spurious modes on very distorted meshes, the addition of dissipative terms as penalization in the numerical scheme is studied and compared on examples. Second, in order to increase the efficiency of the method, a multi-class local time-stepping strategy is presented and its validation and advantages are highlighted on different examples.