6 papers
What does it mean for a 3D star-shaped scatterer to be small in the time domain?
Maryna Kachanovska, Adrian Savchuk
In the frequency domain wave scattering problems, obstacles can be effectively replaced by point scatterers as soon as the wavelength of the incident wave exceeds significantly the…
High-order numerical integration on self-affine sets
Patrick Joly, Maryna Kachanovska, Zoïs Moitier
We construct an interpolatory high-order cubature rule to compute integrals of smooth functions over self-affine sets with respect to an invariant measure. The main difficulty is t…
Asymptotic models for time-domain scattering by small particles of arbitrary shapes
Maryna Kachanovska, Adrian Savchuk
In this work, we investigate time-dependent wave scattering by multiple small particles of arbitrary shape. To approximate the solution of the associated boundary-value problem, we…
Limiting absorption principle for a hybrid resonance in a two-dimensional cold plasma
Maryna Kachanovska, Ãtienne Peillon
We study a limiting absorption principle for the boundary-value problem describing a hybrid plasma resonance, with a regular coefficient in the principal part of the operator that…
Poisson-type problems with transmission conditions at boundaries of infinite metric trees
Maryna Kachanovska, Kiyan Naderi, Konstantin Pankrashkin
The paper introduces a Poisson-type problem on a mixed-dimensional structure combining a Euclidean domain and a lower-dimensional self-similar component touching a compact surface…
Radial perfectly matched layers and infinite elements for the anisotropic wave equation
Martin Halla, Maryna Kachanovska, Markus Wess
We consider the scalar anisotropic wave equation. Recently a convergence analysis for radial perfectly matched layers (PML) in the frequency domain was reported and in the present…