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

Seiler, Jenninfer and Szilágyi, Béla and Pollney, Denis and Rezolla, Luciano (2008) Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations. Classical and Quantum Gravity, 25 (17). Art. No. 175020. ISSN 0264-9381. doi:10.1088/0264-9381/25/17/175020.

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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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Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 2008. Received 22 February 2008, in final form 3 July 2008. Published 19 August 2008. Print publication: Issue 17 (7 September 2008). It is a pleasure to thank Michaela Chirvasa and Tilman Vogel for enlightening conversations regarding well-posedness and summation by parts. Partial support to this research comes through the SFB-TR7 ‘Gravitationswellenastronomie’ of the German DFG. The numerical results presented here in this paper were obtained using the clusters at the AEI.
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Deutsche ForschungsgemeinschaftSFB-TR7 ‘Gravitationswellenastronomie’
Issue or Number:17
Record Number:CaltechAUTHORS:SEIcqg08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11510
Deposited By: Archive Administrator
Deposited On:26 Aug 2008 06:17
Last Modified:12 Jul 2022 19:42

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