21 citations · 21 across the 5 of their papers we have counts for
6 papers
A 3D Summation-by-Parts scheme on a Hyperboloidal Foliation of Minkowski
Shalabh Gautam
This paper summarises our previous work on a fully D Summation-by-Parts scheme, derived for a class of linear wave equations on hyperboloidal slices on a fixed Minkowski backgro…
3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices
Anuraag Reddy, Shalabh Gautam, Prayush Kumar
We derive a fully 3-dimensional Summation-By-Parts scheme for a class of linear wave equations on hyperboloidal slices that meet future null infinity on a Minkowski background. The…
Spherical Evolution of the Generalized Harmonic Gauge Formulation of General Relativity on Compactified Hyperboloidal Slices
Christian Peterson, Shalabh Gautam, Alex Vañó-Viñuales +1
We report on the successful numerical evolution of the compactified hyperboloidal initial value problem in general relativity using generalized harmonic gauge. We work in spherical…
3D Evolution of a Good-Bad-Ugly-F Model on Compactified Hyperboloidal Slices
Christian Peterson, Shalabh Gautam, Inês Rainho +2
The Good-Bad-Ugly-F model is a system of semi-linear wave equations that mimics the asymptotic form of the Einstein field equations in generalized harmonic gauge with specific cons…
Summation by Parts and Truncation Error Matching on Hyperboloidal Slices
Shalabh Gautam, Alex Vañó-Viñuales, David Hilditch +1
We examine stability of summation by parts (SBP) numerical schemes that use hyperboloidal slices to include future null infinity in the computational domain. This inclusion serves…
The Hyperboloidal Numerical Evolution of a Good-Bad-Ugly Wave Equation
Edgar Gasperin, Shalabh Gautam, David Hilditch +1
One method for the numerical treatment of future null-infinity is to decouple coordinates from the tensor basis and choose each in a careful manner. This dual-frame approach is ham…