Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators

Details Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators

2010-08-11

arxiv.org/abs/1008.1820v2

Phys.Rev.D82:104051,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, 6 figures, 1 table, uses revtex4. Revised in response to referee's report

Scientific paper

10.1103/PhysRevD.82.104051

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.

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