Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations
arXiv:0802.3341 · doi:10.1088/0264-9381/25/17/175020
Abstract
We present a set of well-posed constraint-preserving boundary conditions for a first-order in time, second-order in space, harmonic formulation of the Einstein equations. The boundary conditions are tested using robust stability, linear and nonlinear waves, and are found to be both less reflective and constraint preserving than standard Sommerfeld-type boundary conditions.
arXiv comment18 pages, 7 figures, accepted in CQG
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- Adaptive Mesh Refinement for Characteristic Grids
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- The initial boundary value problem for free-evolution formulations of General Relativity