Matching of asymptotic expansions for waves propagation in media with thin slots II: The error estimates
ESAIM: M2AN, 42 2 (2008) 193-221
Published online: 2008-03-27
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Resonances through subwavelength holes: Theory, computation, and applications
Junshan Lin and Hai ZhangPhysics Reports 1170 1 (2026)
https://doi.org/10.1016/j.physrep.2026.01.005
Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap
Junshan Lin, Wangtao Lu and Hai ZhangMultiscale Modeling & Simulation 21 (3) 1012 (2023)
https://doi.org/10.1137/22M1508881
Acoustics of a Partially Partitioned Narrow Slit Connected to a Half-Plane: Case Study for Exponential Quasi-Bound States in the Continuum and their Resonant Excitation
Ory Schnitzer and Richard PorterSIAM Journal on Applied Mathematics 82 (4) 1387 (2022)
https://doi.org/10.1137/22M1470426
Numerical Analysis of Resonances by a Slab of Subwavelength Slits by Fourier-Matching Method
Jiaxin Zhou and Wangtao LuSIAM Journal on Numerical Analysis 59 (4) 2106 (2021)
https://doi.org/10.1137/21M1397532
Волновод с двойным пороговым резонансом на простом пороге
Sergei Aleksandrovich NazarovМатематический сборник 211 (8) 20 (2020)
https://doi.org/10.4213/sm9323
Waveguide with double threshold resonance at a simple threshold
S. A. NazarovSbornik: Mathematics 211 (8) 1080 (2020)
https://doi.org/10.1070/SM9323
Boundary-layer effects on electromagnetic and acoustic extraordinary transmission through narrow slits
Rodolfo Brandão, Jacob R. Holley and Ory SchnitzerProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476 (2242) (2020)
https://doi.org/10.1098/rspa.2020.0444
Anomalies of Acoustic Wave Scattering Near the Cut-off Points of Continuous Spectrum (A Review)
S. A. NazarovAcoustical Physics 66 (5) 477 (2020)
https://doi.org/10.1134/S1063771020050115
Surface waves in a channel with thin tunnels and wells at the bottom: Non-reflecting underwater topography
Lucas Chesnel, Sergei A. Nazarov and Jari TaskinenAsymptotic Analysis 118 (1-2) 81 (2020)
https://doi.org/10.3233/ASY-191556
On the homogenization of the Helmholtz problem with thin perforated walls of finite length
Adrien Semin, Bérangère Delourme and Kersten SchmidtESAIM: Mathematical Modelling and Numerical Analysis 52 (1) 29 (2018)
https://doi.org/10.1051/m2an/2017030
Perfect transmission invisibility for waveguides with sound hard walls
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel and Sergei A. NazarovJournal de Mathématiques Pures et Appliquées 111 79 (2018)
https://doi.org/10.1016/j.matpur.2017.07.020
Resonance Meets Homogenization
Ben SchweizerJahresbericht der Deutschen Mathematiker-Vereinigung 119 (1) 31 (2017)
https://doi.org/10.1365/s13291-016-0153-2
Scattering and Field Enhancement of a Perfect Conducting Narrow Slit
Junshan Lin and Hai ZhangSIAM Journal on Applied Mathematics 77 (3) 951 (2017)
https://doi.org/10.1137/16M1094464
On the homogenization of thin perforated walls of finite length
Bérangère Delourme, Kersten Schmidt and Adrien SeminAsymptotic Analysis 97 (3-4) 211 (2016)
https://doi.org/10.3233/ASY-151350
High‐order asymptotics for the electromagnetic scattering by thin periodic layers
Bérangère DelourmeMathematical Methods in the Applied Sciences 38 (5) 811 (2015)
https://doi.org/10.1002/mma.3110
Axisymmetric eddy current inspection of highly conducting thin layers via asymptotic models
Houssem Haddar and Zixian JiangInverse Problems 31 (11) 115005 (2015)
https://doi.org/10.1088/0266-5611/31/11/115005
The low-frequency spectrum of small Helmholtz resonators
B. SchweizerProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471 (2174) (2015)
https://doi.org/10.1098/rspa.2014.0339
Scalar boundary value problems on junctions of thin rods and plates
R. Bunoiu, G. Cardone and S. A. NazarovESAIM: Mathematical Modelling and Numerical Analysis 48 (5) 1495 (2014)
https://doi.org/10.1051/m2an/2014007
Approximate models for wave propagation across thin periodic interfaces
Bérangère Delourme, Houssem Haddar and Patrick JolyJournal de Mathématiques Pures et Appliquées 98 (1) 28 (2012)
https://doi.org/10.1016/j.matpur.2012.01.003
Asymptotic expansions of the eigenvalues of a 2-D boundary-value problem relative to two cavities linked by a hole of small size
Abderrahmane Bendali, Alain Huard, Abdelkader Tizaoui, Sébastien Tordeux and Jean-Paul VilaComptes Rendus. Mathématique 347 (19-20) 1147 (2009)
https://doi.org/10.1016/j.crma.2009.09.005