32 citations · 44 across the 2 of their papers we have counts for
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A framework for large-scale relativistic simulations in the characteristic approach
Roberto Gómez, Willians Barreto, Simonetta Frittelli
We present a new computational framework (LEO), that enables us to carry out the very first large-scale, high-resolution computations in the context of the characteristic approach…
Well-posed first-order reduction of the characteristic problem of the linearized Einstein equations
Simonetta Frittelli
A choice of first-order variables for the characteristic problem of the linearized Einstein equations is found which casts the system into manifestly well-posed form. The concept o…
Einstein boundary conditions for the Einstein equations in the conformal-traceless decomposition
Simonetta Frittelli, Roberto Gomez
In relation to the BSSN formulation of the Einstein equations, we write down the boundary conditions that result from the vanishing of the projection of the Einstein tensor normall…
Potential for ill-posedness in several 2nd-order formulations of the Einstein equations
Simonetta Frittelli
Second-order formulations of the 3+1 Einstein equations obtained by eliminating the extrinsic curvature in terms of the time derivative of the metric are examined with the aim of e…
Einstein boundary conditions in relation to constraint propagation for the initial-boundary value problem of the Einstein equations
Simonetta Frittelli, Roberto Gomez
We show how the use of the normal projection of the Einstein tensor as a set of boundary conditions relates to the propagation of the constraints, for two representations of the Ei…
Einstein boundary conditions for the 3+1 Einstein equations
Simonetta Frittelli, Roberto Gomez
In the 3+1 framework of the Einstein equations for the case of vanishing shift vector and arbitrary lapse, we calculate explicitly the four boundary equations arising from the vani…