59 citations · 93 across the 2 of their papers we have counts for
5 papers
Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations
Jennifer Seiler, Bela Szilagyi, Denis Pollney +1
We present a set of well-posed constraint-preserving boundary conditions for a first-order in time, second-order in space, harmonic formulation of the Einstein equations. The bound…
Implementation of standard testbeds for numerical relativity
M. C. Babiuc, S. Husa, D. Alic +8
We discuss results that have been obtained from the implementation of the initial round of testbeds for numerical relativity which was proposed in the first paper of the Apples wit…
An explicit harmonic code for black-hole evolution using excision
Bela Szilagyi, Denis Pollney, Luciano Rezzolla +2
We describe an explicit in time, finite-difference code designed to simulate black holes by using the excision method. The code is based upon the harmonic formulation of the Einste…
Cauchy-Characteristic Matching In General Relativity
Bela Szilagyi
From Einstein's theory we know that besides the electromagnetic spectrum, objects like quasars, active galactic nuclei, pulsars and black holes also generate a physical signal of p…
Cauchy-characteristic matching
N. Bishop, R. Isaacson, R. Gomez +3
This paper gives a detailed pedagogic presentation of the central concepts underlying a new algorithm for the numerical solution of Einstein's equations for gravitation. This appro…