# Stable Grid Refinement and Singular Source Discretization for Seismic Wave Simulations

@article{Petersson2009StableGR, 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}, year={2009} }

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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