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20002023
most citedEvolutions in 3D numerical relativity using fixed mesh refinement

652 citations · 1k across the 14 of their papers we have counts for

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gr-qc2006★ 1 cited

Spin Dependence in Computational Black Hole Data

Scott H. Hawley, Michael J. Vitalo, Richard A. Matzner

We have implemented a parallel multigrid solver, to solve the initial data problem for 3+1 General Relativity. This involves solution of elliptic equations derived from the Hamilto…

gr-qc2004★ 62 cited

Dynamical evolution of quasi-circular binary black hole data

Miguel Alcubierre, Bernd Bruegmann, Peter Diener +8

We study the fully nonlinear dynamical evolution of binary black hole data, whose orbital parameters are specified via the effective potential method for determining quasi-circular…

gr-qc2003★ 652 cited

Evolutions in 3D numerical relativity using fixed mesh refinement

Erik Schnetter, Scott H. Hawley, Ian Hawke

We present results of 3D numerical simulations using a finite difference code featuring fixed mesh refinement (FMR), in which a subset of the computational domain is refined in spa…

gr-qc2003★ 7 cited

Tips for implementing multigrid methods on domains containing holes

Scott H. Hawley, Richard A. Matzner

As part of our development of a computer code to perform 3D `constrained evolution' of Einstein's equations in 3+1 form, we discuss issues regarding the efficient solution of ellip…

gr-qc2003★ 112 cited

Toward standard testbeds for numerical relativity

Miguel Alcubierre, Gabrielle Allen, Carles Bona +18

In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical r…

gr-qc2002★ 33 cited

Numerical evidence for `multi-scalar stars'

Scott H. Hawley, Matthew W. Choptuik

We present a class of general relativistic soliton-like solutions composed of multiple minimally coupled, massive, real scalar fields which interact only through the gravitational…