2006/01/31 by Maria C. Babiuc, Maria Babiuc, Béla Szilágyi +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Model Reduction and Neural Networks #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1103/physrevd.73.064017
published as Phys.Rev.D73:064017,2006 · 31 pages, 14 figures, submitted to Physical Review D
arxiv created 2006/03/14 · openalex publication_date 2006/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.