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hal-02873620v1  Journal articles
Eliane Bécache, Sonia Fliss, Maryna Kachanovska, Maria Kazakova. On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2021, ⟨10.5802/crmath.165⟩
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hal-03664569v1  Preprints, Working Papers, ...
Maryna Kachanovska. A NEW CLASS OF UNIFORMLY STABLE TIME-DOMAIN FOLDY-LAX MODELS FOR SCATTERING BY SMALL PARTICLES. ACOUSTIC SOUND-SOFT SCATTERING BY CIRCLES
2022
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hal-02536375v1  Journal articles
Eliane Bécache, Maryna Kachanovska. Stability and Convergence Analysis of Time-domain Perfectly Matched Layers for The Wave Equation in Waveguides
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2021, ⟨10.1137/20M1330543⟩
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hal-02265345v2  Journal articles
Patrick Joly, Maryna Kachanovska. Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach
Numerische Mathematik, Springer Verlag, 2020, 146(2), pp.281-334
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hal-01647185v1  Journal articles
Maxence Cassier, Patrick Joly, Maryna Kachanovska. Mathematical models for dispersive electromagnetic waves: An overview
Computers & Mathematics with Applications, Elsevier, 2017, 74 (11), pp.2792-2830. ⟨10.1016/j.camwa.2017.07.025⟩
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hal-02462264v3  Journal articles
Patrick Joly, Maryna Kachanovska. Local transparent boundary conditions for wave propagation in fractal trees (I). Method and numerical implementation
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, In press, ⟨10.1137/20M1362334⟩
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hal-02909750v2  Journal articles
Patrick Joly, Maryna Kachanovska. Local transparent boundary conditions for wave propagation in fractal trees (ii): error and complexity analysis
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, In press, ⟨10.1137/20M1357524⟩
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hal-01801394v2  Journal articles
Patrick Joly, Maryna Kachanovska, Adrien Semin. Wave propagation in fractal trees. Mathematical and Numerical Issues
Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2019, 14 (2), ⟨10.3934/nhm.2019010⟩
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hal-01397581v1  Journal articles
Eliane Bécache, Patrick Joly, Maryna Kachanovska. Stable Perfectly Matched Layers for a Cold Plasma in a Strong Background Magnetic Field
Journal of Computational Physics, Elsevier, 2017, 341, pp.76-101. ⟨10.1016/j.jcp.2017.03.051⟩
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hal-01419682v2  Preprints, Working Papers, ...
Maryna Kachanovska. Stable perfectly matched layers for a class of anisotropic dispersive models. Part II: Energy estimates
2017
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hal-01356811v2  Journal articles
Eliane Bécache, Maryna Kachanovska. Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: Necessary and sufficient conditions of stability
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (6), pp.2399-2434. ⟨10.1051/m2an/2017019⟩
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hal-03164619v1  Journal articles
Patrick Ciarlet, Maryna Kachanovska. A mathematical study of a hyperbolic metamaterial in free space
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, In press
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hal-03164307v1  Reports
Maryna Kachanovska. Limiting Amplitude Principle for a Hyperbolic Metamaterial in Free Space
[Research Report] Inria. 2021