Well-Posed Initial-Boundary Evolution in General Relativity
arXiv:gr-qc/0205044 · doi:10.1103/PhysRevD.68.041501
Abstract
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 robustly stable in the weak field regime. A linearized version has been stably matched to a characteristic code to compute the gravitational waveform radiated to infinity.
5 pages, 6 figures; added another convergence plot to Fig. 2 + minor changes
References in corpus (5)
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