Phys. Rev. D 68, 041501(R) (2003) [5 pages]Well-posed initial-boundary evolution in general relativity
Maximally dissipative boundary conditions are applied to the initial-boundary value problem for Einstein’s equations in harmonic coordinates to show that it is well posed for homogeneous boundary data and for boundary data that is small in a linearized sense. The method is implemented as a nonlinear evolution code, which satisfies convergence tests in the nonlinear regime and is stable in the weak field regime. A linearized version has been stably matched to a characteristic code to compute the gravitational wave form radiated to infinity. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.041501
DOI:
10.1103/PhysRevD.68.041501
PACS:
04.25.Dm, 04.20.Jb, 04.30.Db, 04.70.Bw
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