Parts | Days | Selection | Search | Updates | Downloads | Help
GR: Fachverband Gravitation und Relativitätstheorie
GR 10: Numerische Relativitätstheorie II
GR 10.5: Talk
Wednesday, February 27, 2013, 17:30–17:45, HS 6
A minimax approach to solving for relativistic stellar equilibria — •Charalampos Markakis1,2, Bernd Brügmann1, Richard Price3, and John Friedman4 — 1University of Jena, Germany — 2University of Southampton, UK — 3University of Texas - Brownsville, US — 4University of Wisconsin - Milwaukee, US
Similar methods have been used to construct models of rapidly rotating or binary stars, in Newtonian and relativistic contexts. The choice of method has been based on numerical experiments, which indicate that particular methods converge quickly to a solution, while others diverge. The theory underlying these differences, however, has not been understood. In an attempt to provide a better theoretical understanding, we analytically examine the behavior of different iterative schemes near an exact static solution. We find the spectrum of the linearized iteration operator and show for self-consistent field methods that iterative instability corresponds to unstable modes of this operator. We show that minimizing the maximum eigenvalue accelerates convergence and allows computation of highly compact configurations that were previously inaccessible via self-consistent field methods.