Causal-Path Local Time-Stepping in the discontinuous Galerkin method for Maxwell's equations

@article{Angulo2014CausalPathLT,
  title={Causal-Path Local Time-Stepping in the discontinuous Galerkin method for Maxwell's equations},
  author={L. D. Angulo and J. Alvarez and Fernando L. Teixeira and Amelia Rubio Bretones and Salvador G. Garcia},
  journal={J. Comput. Physics},
  year={2014},
  volume={256},
  pages={678-695}
}
We introduce a novel local time-stepping technique for marching-in-time algorithms. The technique is denoted as Causal-Path Local Time-Stepping (CPLTS) and it is applied for two time integration techniques: fourth order low–storage explicit Runge–Kutta (LSERK4) and second order Leapfrog (LF2). The CPLTS method is applied to evolve Maxwell’s curl equations using a Discontinuous Galerkin (DG) scheme for the spatial discretization. Numerical results for LF2 and LSERK4 are compared with analytical… CONTINUE READING
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