Implementation of Absorbing Boundary Conditions for the Einstein Equations

Details Implementation of Absorbing Boundary Conditions for the Einstein Equations Implementation of Absorbing Boundary Conditions for the Einstein Equations

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aipc.1122..384r&link_type=abstract

PHYSICS AND MATHEMATICS OF GRAVITATION: Proceedings of the Spanish Relativity Meeting 2008. AIP Conference Proceedings, Volume

Mathematics

Numerical Relativity, Field Theory, Numerical Approximation And Analysis

Scientific paper

Based on a recent study of the linearized Bianchi equations by Buchman and Sarbach, we construct and implement a hierarchy of absorbing boundary conditions for the Einstein equations in generalized harmonic gauge. As a test problem, we demonstrate that we can evolve multipolar gravitational waves without any spurious reflections at linear order in perturbation theory.

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