Algebraic stability analysis of constraint propagation

• Published in: arXiv.org
• Main Authors: Frauendiener, Jörg, Vogel, Tilman
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.08.2005
• Subjects: Boundary conditions; Boundary value problems; Computation; Divergence; Einstein equations; Formulations; Initial conditions; Mathematical analysis; Propagation modes; Stability analysis; Surface stability

The divergence of the constraint quantities is a major problem in computational gravity today. Apparently, there are two sources for constraint violations. The use of boundary conditions which are not compatible with the constraint equations inadvertently leads to 'constraint violating modes�...