Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
In: Proceedings of the 12th Marcel Grossmann Meeting on General Relativity, ed. T Damour, R T Jantzen and R Ruffini, World Scientific (2012)
Among the most importatnt systems of partial differential equations (PDEs) in numerical relativity are those of the first-order in time and mixed first and second-order in space. Namely, impressive results were obtained by several groups using so-called BSSN system belonging to this category. While the analysis of the first-order in space systems had provided a method of construction of boundary condition compatible with PDEs, no such recipe is available for second-oredr in space systems unless it is symmetric hyperbolic. We show, that introduction potentials for evolution variables of a linearized BSSN system, one can find an associated symmetric-hyperbolic system of PDEs which provides boundary conditions for the original BSSN system.
ISBN: 978-981-4374-51-4 (hardcover)
@inproceedings{UTF481,
author = {Ledvinka, T.},
title = {{Boundary conditions for the BSSN System}},
booktitle = {Proceedings of the 12th Marcel Grossmann Meeting on General Relativity},
editor = {T Damour, R T Jantzen and R Ruffini},
publisher = {World Scientific},
year = {2012},
doi = {10.1142/9789814374552\_0053},
url = {https://www.worldscientific.com/doi/10.1142/9789814374552\_0053},
note = {ISBN: 978-981-4374-51-4 (hardcover)},
}