Absorbing boundary conditions for Einstein's field equations
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
A common approach for the numerical simulation of wave propagation on a spatially unbounded domain is to truncate the domain via an artificial boundary, thus forming a finite computational domain with an outer boundary. Absorbing boundary conditions must then be specified at the boundary such that the resulting initial-boundary value problem is well posed and such that the amount of spurious reflection is minimized. In this article, we review recent results on the construction of absorbing boundary conditions in General Relativity and their application to numerical relativity.
Keywords
Cite
@article{arxiv.0708.4266,
title = {Absorbing boundary conditions for Einstein's field equations},
author = {Olivier Sarbach},
journal= {arXiv preprint arXiv:0708.4266},
year = {2008}
}
Comments
12 pages, no figures, Proceedings of the VII Mexican School on Gravitation and Mathematical Physics, Playa del Carmen, Mexico (Nov. 26 - Dec. 2, 2006)