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VERSION:2.0
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BEGIN:VEVENT
SUMMARY:Towards hyperboloidal Numerical Relativity in Generalized Harmonic
  Gauge
DTSTART:20231103T150000Z
DTEND:20231103T170000Z
DTSTAMP:20260622T034830Z
UID:4b026781-a3ec-4d76-a8a9-6eda1ee41b15
SEQUENCE:1
CREATED:20231103T092315Z
DESCRIPTION:Abstract: The use of hyperboloidal coordinates in the numerica
 l evolution of hyperbolic Partial Differential Equations promise a clean c
 apture of the radiation signal asymptotically. Although mathematically app
 ealing\, a fully satisfactory application of such methods in Numerical Rel
 ativity has not been achieved yet. One key difficulty is subtle interplay 
 between the decay of the evolved fields and divergent terms appearing from
  the use of a compactified domain.In this talk I will present the numerica
 l results of the recently understood asymptotic properties of the Generali
 zed Harmonic Formulation of General Relativity for some choice of gauge an
 d metric functions. In particular\, I will discuss 3+1-dimensional evoluti
 on of a simplified model with the same asymptotics\, as well as full non-l
 inear General Relativity evolutions under the assumption of spherical symm
 etry. These works are steps towards applying hyperboloidal methods in full
  Numerical Relativity without symmetry assumptions\, which could improve t
 he Gravitational Wave extraction procedure significantly. 
LAST-MODIFIED:20231103T092315Z
LOCATION:Sala de Formação Avançada do DF (Sala 2-8.11 - 2º Piso do Pav
 ilhão de Física)
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/towards-hyperboloidal-nume
 rical-relativity-in-generalized-harmonic-gauge/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="e5ne0">Abstract:</p><p dat
 a-block-key="f9if1"> The use of hyperboloidal coordinates in the numerical
  evolution of hyperbolic Partial Differential Equations promise a clean ca
 pture of the radiation signal asymptotically. Although mathematically appe
 aling\, a fully satisfactory application of such methods in Numerical Rela
 tivity has not been achieved yet. <br/><br/>One key difficulty is subtle i
 nterplay between the decay of the evolved fields and divergent terms appea
 ring from the use of a compactified domain.<br/>In this talk I will presen
 t the numerical results of the recently understood asymptotic properties o
 f the Generalized Harmonic Formulation of General Relativity for some choi
 ce of gauge and metric functions. <br/><br/>In particular\, I will discuss
  3+1-dimensional evolution of a simplified model with the same asymptotics
 \, as well as full non-linear General Relativity evolutions under the assu
 mption of spherical symmetry. These works are steps towards applying hyper
 boloidal methods in full Numerical Relativity without symmetry assumptions
 \, which could improve the Gravitational Wave extraction procedure signifi
 cantly. </p>
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