2010

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

Field, Scott E., Hesthaven, Jan S., Lau, Stephen R. et al.

Understand

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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