14 citations · 25 across the 25 of their papers we have counts for
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A ill-posed scattering problem saturating Weyl's law
T. Chaumont-Frelet
This paper focuses on the well-posedness (or lack thereof) of three-dimensional time-harmonic wave propagation problems modeled by the Helmholtz equation. It is well-known that if…
Frequency-explicit stability estimates for time-harmonic elastodynamic problems in nearly incompressible materials
T. Chaumont-Frelet, S. Nicaise
We consider time-harmonic elastodynamic problems in heterogeneous media.cWe focus on scattering problems in the high-frequency regime and incnearly incompressible media, where the…
Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media
Théophile Chaumont-Frelet, Andrea Moiola, Euan A. Spence
We consider the time-harmonic Maxwell equations posed in . We prove a priori bounds on the solution for coefficients and satisfying certain monoton…
Scattering by finely-layered obstacles: frequency-explicit bounds and homogenization
Théophile Chaumont-Frelet, Euan A. Spence
We consider the scalar Helmholtz equation with variable, discontinuous coefficients, modelling transmission of acoustic waves through an anisotropic penetrable obstacle. We first p…