5 problems

Let $u$ be the total field and let $\tilde{u}$ be the solution of the problem truncated by a perfectly matched layer (PML) in the physical domain $\Omega_H$. Let $\tilde{P}$ denote…

Delta-independent convergence conjecture. The convergence rate does not depend on $delta$, so the convergence estimate should extend easily to the case with Assumption $$ .

Local exponential convergence conjecture. Exponential convergence of the PML method should hold locally also for nonflat periodic surfaces.

PML–physical solution agreement conjecture. On $F$, the solutions $\psi_\lambda[t]$ agree with the physical solution $\phit$ defined by Eq. (agreement).

Standard-CFL conjecture. The CFL of scheme B always remains the standard one, whatever the damping profile is.