Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations

@article{Seiler2008ConstraintpreservingBT,
  title={Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations},
  author={J. Seiler and B. Szil{\'a}gyi and D. Pollney and L. Rezzolla},
  journal={Classical and Quantum Gravity},
  year={2008},
  volume={25},
  pages={175020}
}
  • J. Seiler, B. Szilágyi, +1 author L. Rezzolla
  • Published 2008
  • Physics
  • Classical and Quantum Gravity
  • We present a set of well-posed constraint-preserving boundary conditions for a first-order in time, second-order in space, harmonic formulation of the Einstein equations. The boundary conditions are tested using robust stability, linear and nonlinear waves, and are found to be both less reflective and constraint preserving than standard Sommerfeld-type boundary conditions. 

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