3 citations · 3 across the 9 of their papers we have counts for
Showing 2025 · math.APShow all
3 papers · 2 filters
math.AP2025
Scattering of plane waves
Narek Hovsepyan, Michael S. Vogelius
We formulate a problem that can be viewed as a natural variation of the so-called Pompeiu or Schiffer problem in the context of scattering of plane waves for the Linear Helmholtz e…
math.AP2025
Scattering from analytic and piecewise analytic inhomogeneities
Narek Hovsepyan, Michael S. Vogelius
We study scattering for the linear Helmholtz operator in two dimensions and develop a technique, which can be used to ascertain scattering of a given incident wave from very regula…
math.AP2025
Perfectly matched layers in time domain. A simple two-dimensional error analysis
Kurt Bryan, Michael S. Vogelius
Perfectly Matched Layers (PML) has become a very common method for the numerical approximation of wave and wave-like equations on unbounded domains. This technique allows one to ob…