Maryna Kachanovska

Présentation

Please see my web-page https://sites.google.com/site/mkachanovska/ for a more complete list of publications, talks etc.

Publications

Article dans une revue (18)

Poisson-type problems with transmission conditions at boundaries of infinite metric trees Maryna Kachanovska,Kiyan Naderi,Konstantin Pankrashkin Journal of Mathematical Analysis and Applications, 2026, 557 (1), pp.130261. ⟨10.1016/j.jmaa.2025.130261⟩ Article dans une revue hal-05436272v1
Radial perfectly matched layers and infinite elements for the anisotropic wave equation Martin Halla,Maryna Kachanovska,Markus Wess SIAM Journal on Mathematical Analysis, 2025, 57 (3), pp.3171-3216. ⟨10.1137/24M1636551⟩ Article dans une revue hal-04419377v1
A new class of uniformly stable time-domain Foldy-Lax models for scattering by small particles. Acoustic sound-soft scattering by circles. Extended version Maryna Kachanovska Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2024, 22 (1), ⟨10.1137/22M1495512⟩ Article dans une revue hal-03664569v2
Study of a degenerate non-elliptic equation to model plasma heating Patrick Ciarlet,Maryna Kachanovska,Etienne Peillon ESAIM: Mathematical Modelling and Numerical Analysis, 2024, 58 (5), pp.1785-1821. ⟨10.1051/m2an/2024053⟩ Article dans une revue hal-04731902v2
Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides Eliane Bécache,Maryna Kachanovska,Markus Wess ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (4), pp.2451-2491. ⟨10.1051/m2an/2023060⟩ Article dans une revue hal-03910611v1
A mathematical study of a hyperbolic metamaterial in free space Patrick Ciarlet,Maryna Kachanovska SIAM Journal on Mathematical Analysis, 2022, 54 (2), pp.2216-2250. ⟨10.1137/21M1404223⟩ Article dans une revue hal-03164619v1
Local transparent boundary conditions for wave propagation in fractal trees (ii): error and complexity analysis Patrick Joly,Maryna Kachanovska SIAM Journal on Numerical Analysis, 2022, 60 (2), ⟨10.1137/20M1357524⟩ Article dans une revue hal-02909750v2
On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy Eliane Bécache,Sonia Fliss,Maryna Kachanovska,Maria Kazakova Comptes Rendus. Mathématique, 2021, ⟨10.5802/crmath.165⟩ Article dans une revue hal-02873620v1
Local transparent boundary conditions for wave propagation in fractal trees (I). Method and numerical implementation Patrick Joly,Maryna Kachanovska SIAM Journal on Scientific Computing, 2021, ⟨10.1137/20M1362334⟩ Article dans une revue hal-02462264v3
Stability and Convergence Analysis of Time-domain Perfectly Matched Layers for The Wave Equation in Waveguides Eliane Bécache,Maryna Kachanovska SIAM Journal on Numerical Analysis, 2021, ⟨10.1137/20M1330543⟩ Article dans une revue hal-02536375v1
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach Patrick Joly,Maryna Kachanovska Numerische Mathematik, 2020, 146(2), pp.281-334. ⟨10.1007/s00211-020-01145-9⟩ Article dans une revue hal-02265345v2
Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation Daniel Henri Baffet,Marcus J. Grote,Sébastien Imperiale,Maryna Kachanovska Journal of Scientific Computing, 2019, ⟨10.1007/s10915-019-01089-9⟩ Article dans une revue hal-01865484v2
Wave propagation in fractal trees. Mathematical and Numerical Issues Patrick Joly,Maryna Kachanovska,Adrien Semin Networks and Heterogeneous Media, 2019, 14 (2), ⟨10.3934/nhm.2019010⟩ Article dans une revue hal-01801394v2
Mathematical models for dispersive electromagnetic waves: An overview Maxence Cassier,Patrick Joly,Maryna Kachanovska Computers & Mathematics with Applications, 2017, 74 (11), pp.2792-2830. ⟨10.1016/j.camwa.2017.07.025⟩ Article dans une revue hal-01647185v1
Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: Necessary and sufficient conditions of stability Eliane Bécache,Maryna Kachanovska ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (6), pp.2399-2434. ⟨10.1051/m2an/2017019⟩ Article dans une revue hal-01356811v2
Stable Perfectly Matched Layers for a Cold Plasma in a Strong Background Magnetic Field Eliane Bécache,Patrick Joly,Maryna Kachanovska Journal of Computational Physics, 2017, 341, pp.76-101. ⟨10.1016/j.jcp.2017.03.051⟩ Article dans une revue hal-01397581v1
A numerical study of the solution of x-mode equations around the hybrid resonance Céline Caldini-Queiros,Bruno Després,Lise-Marie Imbert-Gérard,Maryna Kachanovska ESAIM: Proceedings and Surveys, 2016, 53, pp.1-21 Article dans une revue hal-01114791v1
Perfectly matched layers in negative index metamaterials and plasmas Eliane Bécache,Patrick Joly,Maryna Kachanovska,Valentin Vinoles ESAIM: Proceedings, 2015, Vol. 50, p. 113-132. ⟨10.1051/proc/201550006⟩ Article dans une revue hal-01082445v4

Pré-publication, Document de travail (5)

Asymptotic models for time-domain scattering by small particles of arbitrary shapes Maryna Kachanovska,Adrian Savchuk 2025 Pré-publication, Document de travail hal-05273838v2
Limiting absorption principle for a hybrid resonance in a two-dimensional cold plasma Maryna Kachanovska,Etienne Peillon 2025 Pré-publication, Document de travail hal-05436281v1
What does it mean for a 3D star-shaped scatterer to be small in the time domain? Maryna Kachanovska,Adrian Savchuk 2025 Pré-publication, Document de travail hal-05436275v1
High-order numerical integration on self-affine sets Patrick Joly,Maryna Kachanovska,Zoïs Moitier 2024 Pré-publication, Document de travail hal-04711030v1
Stable perfectly matched layers for a class of anisotropic dispersive models. Part II: Energy estimates Maryna Kachanovska 2017 Pré-publication, Document de travail hal-01419682v2

Rapport (1)

Limiting Amplitude Principle for a Hyperbolic Metamaterial in Free Space Maryna Kachanovska [Research Report] Inria. 2021 Rapport (rapport de recherche) hal-03164307v1