Publikace ÚTF

Boundary conditions for the BSSN System

Ledvinka, T.

Among the most importatnt systems of partial differential equations (PDEs) in numerical relativity are those of the first-order in time and mixed first and second-order in space. Namely, impressive results were obtained by several groups using so-called BSSN system belonging to this category. While the analysis of the first-order in space systems had provided a method of construction of boundary condition compatible with PDEs, no such recipe is available for second-oredr in space systems unless it is symmetric hyperbolic. We show, that introduction potentials for evolution variables of a linearized BSSN system, one can find an associated symmetric-hyperbolic system of PDEs which provides boundary conditions for the original BSSN system.
mg12 boundary conditions.pdf (3740.85 kB)

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