Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators
General Relativity and Quantum Cosmology
2010-12-23 v2
Abstract
We present a high-order accurate discontinuous Galerkin method for evolving the spherically-reduced Baumgarte-Shapiro-Shibata-Nakamura (BSSN) system expressed in terms of second-order spatial operators. Our multi-domain method achieves global spectral accuracy and long-time stability on short computational domains. We discuss in detail both our scheme for the BSSN system and its implementation. After a theoretical and computational verification of the proposed scheme, we conclude with a brief discussion of issues likely to arise when one considers the full BSSN system.
Keywords
Cite
@article{arxiv.1008.1820,
title = {Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators},
author = {Scott E. Field and Jan S. Hesthaven and Stephen R. Lau and Abdul H. Mroue},
journal= {arXiv preprint arXiv:1008.1820},
year = {2010}
}
Comments
35 pages, 6 figures, 1 table, uses revtex4. Revised in response to referee's report