6 citations · 15 across the 5 of their papers we have counts for
5 papers
Baumgarte-Shapiro-Shibata-Nakamura formalism in cylindrical coordinates: Brill and Teukolsky waves in both linear and nonlinear regimes
M. A. Alcoforado, R. F. Aranha, H. P. de Oliveira
In this article we present a numerical code, based on the collocation or pseudospectal method, which integrates the equations of the BSSN formalism in cylindrical coordinates. In o…
The Bondi problem revisited: a spectral domain decomposition code
M. A. Alcoforado, W. O. Barreto, H. P. de Oliveira
We present a simple domain decomposition code based on the Galerkin-Collocation method to integrate the field equations of the Bondi problem. The algorithm is stable, exhibits expo…
New numerical framework for the generalized Baumgarte-Shapiro-Shibata-Nakamura formulation: The vacuum case for spherical symmetry
M. A. Alcoforado, R. F. Aranha, W. O. Barreto +1
Here we report a developed high performance and simplified version of the code denominated RIO, which can be easily extended, for the generalized BSSN formulation. We implement a c…
Multidomain Galerkin-Collocation method: spherical collapse of scalar fields II
M. A. Alcoforado, R. F. Aranha, W. O. Barreto +1
We follow the strategy initiated in Ref. [1] and proceed with the implementation of the Galerkin-Collocation domain decomposition (GCDD) applied to the dynamics of a spherical self…
Multidomain Galerkin-Collocation method: characteristic spherical collapse of scalar fields
M. A. Alcoforado, W. O. Barreto, H. P. de Oliveira
We initiate a systematic implementation of the spectral domain decomposition technique with the Galerkin-Collocation (GC) method in situations of interest such as the spherical col…