317 citations · 942 across the 17 of their papers we have counts for
17 papers
Exact boundary conditions in numerical relativity using multiple grids: scalar field tests
Gioel Calabrese
Cauchy-Characteristic Matching (CCM), the combination of a central 3+1 Cauchy code with an exterior characteristic code connected across a time-like interface, is a promising techn…
Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests
Gioel Calabrese, Carsten Gundlach, David Hilditch
We investigate the use of asymptotically null slices combined with stretching or compactification of the radial coordinate for the numerical simulation of asymptotically flat space…
Discrete boundary treatment for the shifted wave equation
Gioel Calabrese, Carsten Gundlach
We present strongly stable semi-discrete finite difference approximations to the quarter space problem (x>0, t>0) for the first order in time, second order in space wave equation w…
Constraint damping in the Z4 formulation and harmonic gauge
Carsten Gundlach, Jose M. Martin-Garcia, Gioel Calabrese +1
We show that by adding suitable lower-order terms to the Z4 formulation of the Einstein equations, all constraint violations except constant modes are damped. This makes the Z4 for…
Numerical stability for finite difference approximations of Einstein's equations
Gioel Calabrese, Ian Hinder, Sascha Husa
We extend the notion of numerical stability of finite difference approximations to include hyperbolic systems that are first order in time and second order in space, such as those…
Excising a boosted rotating black hole with overlapping grids
Gioel Calabrese, David Neilsen
We use the overlapping grids method to construct a fourth order accurate discretization of a first order reduction of the Klein-Gordon scalar field equation on a boosted spinning b…