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Maryna Kachanovska

18
Documents

Presentation

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

Publications

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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
Journal articles hal-03910611v1
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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, inPress
Journal articles hal-03664569v2
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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⟩
Journal articles hal-03164619v1
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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⟩
Journal articles hal-02909750v2
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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⟩
Journal articles hal-02536375v1
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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⟩
Journal articles hal-02462264v3
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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⟩
Journal articles hal-02873620v1
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Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach

Patrick Joly , Maryna Kachanovska
Numerische Mathematik, 2020, 146(2), pp.281-334
Journal articles hal-02265345v2
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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⟩
Journal articles hal-01865484v2
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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⟩
Journal articles hal-01801394v2
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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⟩
Journal articles hal-01356811v2
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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⟩
Journal articles hal-01647185v1
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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
Journal articles hal-01114791v1
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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⟩
Journal articles hal-01082445v4