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Implementation of Absorbing Boundary Conditions for the Einstein Equations

Rinne, Oliver and Buchman, Luisa T. and Scheel, Mark A. and Pfeiffer, Harald P. (2009) Implementation of Absorbing Boundary Conditions for the Einstein Equations. In: Physics and Mathematics of Gravitation: Proceedings of the Spanish Relativity Meeting 2008. AIP Conference Proceedings. No.1122. American Institute of Physics , Melville, NY, pp. 384-387. ISBN 978-0-7354-0658-2. http://resolver.caltech.edu/CaltechAUTHORS:20160504-165114781

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Abstract

Based on a recent study of the linearized Bianchi equations by Buchman and Sarbach, we construct and implement a hierarchy of absorbing boundary conditions for the Einstein equations in generalized harmonic gauge. As a test problem, we demonstrate that we can evolve multipolar gravitational waves without any spurious reflections at linear order in perturbation theory.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.3141332DOIArticle
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.3141332PublisherArticle
Additional Information:© 2009 American Institute of Physics. We thank James Bardeen, Edvin Deadman, Lee Lindblom, Richard Matzner, Olivier Sarbach, John Stewart, and Manuel Tiglio for insightful suggestions and discussions during the course of this work, and Keith Matthews for use of and help with his ODE integration code. The numerical simulations presented here were performed using the Spectral Einstein Code (SpEC) developed at Caltech and Cornell primarily by Larry Kidder, Harald Pfeiffer and Mark Scheel. OR gratefully acknowledges a travel grant from the Gravitational Waves Section of the European Network of Theoretical Astroparticle Physics / ILIAS to attend this conference, as well as a Research Fellowship at King's College, Cambridge. This work was supported in part by grants to Caltech from the Sherman Fairchild Foundation and the Brinson Foundation, by NSF grants DMS-0553302, PHY-0601459, PHY-0652995, and by NASA grant NNG05GG52G. LTB was also supported by grants NSF PHY 0354842 and NASA NNG 04GL37G to the University of Texas at Austin.
Group:TAPIR
Funders:
Funding AgencyGrant Number
European Network of Theoretical Astroparticle PhysicsUNSPECIFIED
King's College, CambridgeUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Brinson FoundationUNSPECIFIED
NSFDMS-0553302
NSFPHY-0601459
NSFPHY-0652995
NASANNG05GG52G
NSFPHY-0354842
NASANNG 04GL37G
Subject Keywords:Numerical relativity, initial-boundary value problem, perturbation theory
Classification Code:PACS: 04.25.D-, 02.60.Lj, 04.25.-g
Record Number:CaltechAUTHORS:20160504-165114781
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160504-165114781
Official Citation:Implementation of Absorbing Boundary Conditions for the Einstein Equations Rinne, Oliver and Buchman, Luisa T. and Scheel, Mark A. and Pfeiffer, Harald P., AIP Conference Proceedings, 1122, 384-387 (2009), DOI:http://dx.doi.org/10.1063/1.3141332
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66668
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:05 May 2016 14:59
Last Modified:05 May 2016 14:59

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