A space-time hybridizable discontinuous Galerkin method for linear free-surface waves

@article{Jones2020ASH,
  title={A space-time hybridizable discontinuous Galerkin method for linear free-surface waves},
  author={G. S. Jones and Jeonghun J. Lee and S. Rhebergen},
  journal={J. Sci. Comput.},
  year={2020},
  volume={85},
  pages={61}
}
We present and analyze a novel space-time hybridizable discontinuous Galerkin (HDG) method for the linear free-surface problem on prismatic space-time meshes. We consider a mixed formulation which immediately allows us to compute the velocity of the fluid. In order to show well-posedness, our space-time HDG formulation makes use of weighted inner products. We perform an a priori error analysis in which the dependence on the time step and spatial mesh size is explicit. We provide two numerical… Expand
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