PIRSA:20120005

The Fully Constrained Formulation: local uniqueness and numerical accuracy

Cordero Carrion, I. (2020). The Fully Constrained Formulation: local uniqueness and numerical accuracy. Perimeter Institute. https://pirsa.org/20120005

Cordero Carrion, Isabel. The Fully Constrained Formulation: local uniqueness and numerical accuracy. Perimeter Institute, Dec. 16, 2020, https://pirsa.org/20120005 

          @misc{ pirsa_PIRSA:20120005,
            doi = {10.48660/20120005},
            url = {https://pirsa.org/20120005},
            author = {Cordero Carrion, Isabel},
            keywords = {Other},
            language = {en},
            title = {The Fully Constrained Formulation: local uniqueness and numerical accuracy},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {dec},
            note = {PIRSA:20120005 see, \url{https://pirsa.org}}
          }

Isabel Cordero Carrion

University of Valencia

Talk number
PIRSA:20120005
Collection
Talk Type
Subject
Abstract

In this talk I will introduce the Fully Constrained Formulation (FCF) of General Relativity. In this formulation one has a hyperbolic sector and an elliptic one. The constraint equations are solved in each time step and are encoded in the elliptic sector; this set of equations have to be solved to compute initial data even if a free evolution scheme is used for a posterior dynamical evolution. Other formulations (like the XCTS formulation) share a similar elliptic sector. I will comment about the local uniqueness issue of the elliptic sector in the FCF. I will also described briefly the hyperbolic sector. I will finish with some recent reformulation of the equations which keeps the good properties of the local uniqueness, improves the numerical accuracy of the system and gives some additional information.