black hole excision 1embedded boundary 1high-order finite differences 1summation by parts 1upwind schemes 1wave equations 1
From the 1 of 2 linked papers with an AI index.
2 papers
gr-qc2026
Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids
Conner Dailey
The paper introduces new high‑order finite‑difference operators that embed irregular boundaries within a regular Cartesian grid, using upwind summation‑by‑parts techniques to impro…
gr-qc2025
Formulating the complete initial boundary value problem in numerical relativity to model black hole echoes
Conner Dailey, Erik Schnetter, Niayesh Afshordi
In an attempt to simulate black hole echoes (generated by potential quantum-gravitational structure) in numerical relativity, we recently described how to implement a reflecting bo…