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math.NA2025
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…
math.NA2024
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…
math.NA2024
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…