Hybridized Summation-By-Parts Finite Difference Methods

@article{Kozdon2021HybridizedSF,
  title={Hybridized Summation-By-Parts Finite Difference Methods},
  author={Jeremy E. Kozdon and Brittany A. Erickson and Lucas C. Wilcox},
  journal={J. Sci. Comput.},
  year={2021},
  volume={87},
  pages={85}
}
We present a hybridization technique for summation-by-parts finite difference methods with weak enforcement of interface and boundary conditions for second order elliptic partial differential equations. The method is based on techniques from the hybridized discontinuous Galerkin literature where local and global problems are defined for the volume and trace grid points, respectively. By using a Schur complement technique the volume points can be eliminated, which drastically reduces the system… 

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