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  Harmonic Initial-Boundary Evolution in General Relativity

Babiuc, M. C., Szilagyi, B., & Winicour, J. (2006). Harmonic Initial-Boundary Evolution in General Relativity. Physical Review D, 73: 064017.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4BF9-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4BFB-0
Genre: Journal Article

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0601039.pdf (Preprint), 486KB
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 Creators:
Babiuc, Maria C.1, Author
Szilagyi, Bela1, Author              
Winicour, Jeffrey1, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24013              

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 Abstract: Computational techniques which establish the stability of an evolution-boundary algorithm for a model wave equation with shift are incorporated into a well-posed version of the initial-boundary value problem for gravitational theory in harmonic coordinates. The resulting algorithm is implemented as a 3-dimensional numerical code which we demonstrate to provide stable, convergent Cauchy evolution in gauge wave and shifted gauge wave testbeds. Code performance is compared for Dirichlet, Neumann and Sommerfeld boundary conditions and for boundary conditions which explicitly incorporate constraint preservation. The results are used to assess strategies for obtaining physically realistic boundary data by means of Cauchy-characteristic matching.

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 Dates: 2006
 Publication Status: Published in print
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 Identifiers: eDoc: 265096
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 73 Sequence Number: 064017 Start / End Page: - Identifier: -