Well-Posed Initial-Boundary Evolution in General Relativity

The technique of maximally dissipative boundary conditions is applied to establish a simple, well-posed version of the general relativistic initial-boundary value problem for the reduced Einstein equations in harmonic coordinates. The method is implemented as a nonlinear evolution code which satisfies several 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