Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell's Equations

@article{Descombes2013LocallyIT,
  title={Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell's Equations},
  author={St{\'e}phane Descombes and St{\'e}phane Lanteri and Ludovic Moya},
  journal={J. Sci. Comput.},
  year={2013},
  volume={56},
  pages={190-218}
}
An attractive feature of discontinuous Galerkin (DG) spatial discretization is the possibility of using locally refined space grids to handle geometrical details. However, locally refined meshes lead to severe stability constraints on explicit integration methods to numerically solve a time-dependent partial differential equation. If the ratio of fine to coarse elements is small, the time step size restriction can be overcome by blending an implicit and an explicit scheme where only the… CONTINUE READING

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