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

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Seiler,  Jennifer
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Szilagyi,  Bela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Pollney,  Denis
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rezzolla,  Luciano
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg8_17_175020.pdf
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Citation

Seiler, J., Szilagyi, B., Pollney, D., & Rezzolla, L. (2008). Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations. Classical and quantum gravity, 25(17): 175020. doi:10.1088/0264-9381/25/17/175020.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-6C50-A
Abstract
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.