Stable Grid Refinement and Singular Source Discretization for Seismic Wave Simulations

  title={Stable Grid Refinement and Singular Source Discretization for Seismic Wave Simulations},
  author={N. Anders Petersson and Bj{\"o}rn Sj{\"o}green},
  journal={Communications in Computational Physics},
An energy conserving discretization of the elastic wave equation in second order formulation is developed for a composite grid, consisting of a set of structured rectangular component grids with hanging nodes on the grid refinement interface. Previously developed summation-by-parts properties are generalized to devise a stable second order accurate coupling of the solution across mesh refinement interfaces. The discretization of singular source terms of point force and point moment tensor type… 
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