Poster 3

Mark Baumann UT-Physics

A Cutting Plane Approach to Dynamics in General Relativity The purpose of this research is to develop a numerical algorithm for constrained evolution in general relativity. Because a numerical approach is inherently approximate, it is inevitable that, at some point during evolution by a numerical method, the constraint equations of general relativity will no longer be satisfied. When this occurs, our technique is to modify the Lagrange multipliers via a cutting plane algorithm until the constraints are again satisfied. Therefore, in the general relativity context, we are modifying the lapse and shift during the evolution in order to maintain constraint satisfaction. The algorithm for doing so is developed here.