Workshop From geometry to numerics
IHP, Paris, 20-24 November 2006

Oliver Rinne (CalTech, USA)

Outer boundary conditions for the generalized harmonic Einstein equations: stability and accuracy

We construct and analyze the stability of constraint-preserving and radiation-controlling boundary conditions for the Einstein equations in a first-order generalized harmonic formulation. Their numerical performance with regard to the amount of spurious reflections and the accuracy of the extracted gravitational radiation is compared with various different ways of treating the outer boundary, including spatial compactification.

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