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2017 Time-parallel gravitational collapse simulation
Andreas Kreienbuehl, Pietro Benedusi, Daniel Ruprecht, Rolf Krause
Commun. Appl. Math. Comput. Sci. 12(1): 109-128 (2017). DOI: 10.2140/camcos.2017.12.109

Abstract

This article demonstrates the applicability of the parallel-in-time method Parareal to the numerical solution of the Einstein gravity equations for the spherical collapse of a massless scalar field. To account for the shrinking of the spatial domain in time, a tailored load balancing scheme is proposed and compared to load balancing based on number of time steps alone. The performance of Parareal is studied for both the subcritical and black hole case; our experiments show that Parareal generates substantial speedup and, in the supercritical regime, can reproduce Choptuik’s black hole mass scaling law.

Citation

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Andreas Kreienbuehl. Pietro Benedusi. Daniel Ruprecht. Rolf Krause. "Time-parallel gravitational collapse simulation." Commun. Appl. Math. Comput. Sci. 12 (1) 109 - 128, 2017. https://doi.org/10.2140/camcos.2017.12.109

Information

Received: 24 April 2016; Revised: 28 December 2016; Accepted: 18 April 2017; Published: 2017
First available in Project Euclid: 19 October 2017

MathSciNet: MR3652442
Digital Object Identifier: 10.2140/camcos.2017.12.109

Subjects:
Primary: 35Q76, 65M25, 65Y05, 83C57

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.12 • No. 1 • 2017
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