Numerical performance of the parabolized ADM (PADM) formulation of General Relativity

Simple item page
dc.creatorPaschalidis, Vasileios
dc.creatorHansen, Jakob
dc.creatorKhokhlov, Alexei
dc.date2007-12-08
dc.date2007-12-11
dc.date.accessioned2026-07-07T12:44:29Z
dc.date.available2026-07-07T12:44:29Z
dc.descriptionIn a recent paper the first coauthor presented a new parabolic extension (PADM) of the standard 3+1 Arnowitt, Deser, Misner formulation of the equations of general relativity. By parabolizing first-order ADM in a certain way, the PADM formulation turns it into a mixed hyperbolic - second-order parabolic, well-posed system. The surface of constraints of PADM becomes a local attractor for all solutions and all possible well-posed gauge conditions. This paper describes a numerical implementation of PADM and studies its accuracy and stability in a series of standard numerical tests. Numerical properties of PADM are compared with those of standard ADM and its hyperbolic Kidder, Scheel, Teukolsky (KST) extension. The PADM scheme is numerically stable, convergent and second-order accurate. The new formulation has better control of the constraint-violating modes than ADM and KST.
dc.description20 two column pages, 20 figures, submitted to PRD, two typos corrected
dc.identifierhttps://arxiv.org/abs/0712.1258
dc.identifierhttp://arxiv.org/abs/0712.1258
dc.identifierPhys.Rev.D78:064048,2008
dc.identifierdoi:10.1103/PhysRevD.78.064048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220787
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNumerical performance of the parabolized ADM (PADM) formulation of General Relativity
dc.typetext

Files

Collections

arXiv