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  Boundary conditions in linearized harmonic gravity

Szilagyi, B., Schmidt, B., & Winicour, J. (2002). Boundary conditions in linearized harmonic gravity. Physical Review D, 65: 064015.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-54F1-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-54F3-E
Genre: Journal Article

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2741.pdf (Preprint), 358KB
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 Creators:
Szilagyi, Bela1, Author              
Schmidt, Bernd2, Author
Winicour, Jeffrey2, Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: We investigate the initial-boundary value problem for linearized gravitational theory in harmonic coordinates. Rigorous techniques for hyperbolic systems are applied to establish well-posedness for various reductions of the system into a set of six wave equations. The results are used to formulate computational algorithms for Cauchy evolution in a 3-dimensional bounded domain. Numerical codes based upon these algorithms are shown to satisfy tests of robust stability for random constraint violating initial data and random boundary data; and shown to give excellent performance for the evolution of typical physical data. The results are obtained for plane boundaries as well as piecewise cubic spherical boundaries cut out of a Cartesian grid.

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Language(s): eng - English
 Dates: 2002
 Publication Status: Published in print
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 Identifiers: eDoc: 2741
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 65 Sequence Number: 064015 Start / End Page: - Identifier: -