The hyperbolicity of characteristic formulations
Investigating the hyperbolicity of the characteristic setup in general relativity and its impact in applications.
- Found that common characteristic formulations are only weakly hyperbolic.
- Analysed the effect of weak hyperbolicity in numerical simulations through suitable convergence test.
- Discussed the implications in applications such as gravitational waveform modelling, and specifically the well-posedness of the CCE and CCM methods.
Tags:
general relativity,
PDE analysis,
numerical convergence