6 citations · 6 across the 1 of their papers we have counts for
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Spherical excision for moving black holes and summation by parts for axisymmetric systems
Gioel Calabrese, David Neilsen
It is expected that the realization of a convergent and long-term stable numerical code for the simulation of a black hole inspiral collision will depend greatly upon the construct…
Summation by parts and dissipation for domains with excised regions
Gioel Calabrese, Luis Lehner, Oscar Reula +2
We discuss finite difference techniques for hyperbolic equations in non-trivial domains, as those that arise when simulating black hole spacetimes. In particular, we construct diss…
Detecting ill posed boundary conditions in General Relativity
Gioel Calabrese, Olivier Sarbach
A persistent challenge in numerical relativity is the correct specification of boundary conditions. In this work we consider a many parameter family of symmetric hyperbolic initial…
Novel finite-differencing techniques for numerical relativity: application to black hole excision
Gioel Calabrese, Luis Lehner, David Neilsen +4
We use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to construct stable finite-difference schemes for Numerical Relativity, in particular…