Published September 7, 2008
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Journal Article
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Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations
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.
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.Attached Files
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SEIcqg08.pdf
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Additional details
- Eprint ID
- 11510
- Resolver ID
- CaltechAUTHORS:SEIcqg08
- SFB-TR7 'Gravitationswellenastronomie'
- Deutsche Forschungsgemeinschaft
- Created
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2008-08-26Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field
- Caltech groups
- TAPIR