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          Institute: MPI für Gravitationsphysik     Collection: Astrophysical Relativity     Display Documents



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ID: 265096.0, MPI für Gravitationsphysik / Astrophysical Relativity
Harmonic Initial-Boundary Evolution in General Relativity
Authors:Babiuc, Maria C.; Szilagyi, Bela; Winicour, Jeffrey
Date of Publication (YYYY-MM-DD):2006
Title of Journal:Physical Review D
Volume:73
Sequence Number of Article:064017
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
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