Imece 2003-42542 Local Space-time Adaptive Discontinuous Galerkin Finite Element Methods for Time-dependent Waves

@inproceedings{ThompsonImece2L,
  title={Imece 2003-42542 Local Space-time Adaptive Discontinuous Galerkin Finite Element Methods for Time-dependent Waves},
  author={Lonny L. Thompson and Dantong He}
}
Local space-time adaptive methods are developed including high-order accurate nonreflecting boundary conditions (NRBC) for time-dependent waves. The time-discontinuous Galerkin (TDG) variational method is used to divide the time-interval into space-time slabs, the solution advanced from one slab to the next. Within each slab, a continuous space-time mesh is used which enables local sub-time steps. By maintaining orthogonality of the space-time mesh and pre-integrating analytically through the… CONTINUE READING