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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 4
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Original Articles

Asymptotically precise norm estimates of scattering from a small circular inhomogeneity

Derek J. Hansen Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA; Institut Camille Jordan, UMR CNRS 5208, Université Claude Bernard Lyon 1, 69622 Villeurbanne cedex, France
,
Clair Poignard Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA; Institut Camille Jordan, UMR CNRS 5208, Université Claude Bernard Lyon 1, 69622 Villeurbanne cedex, France
&
Michael S. Vogelius Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA; Institut Camille Jordan, UMR CNRS 5208, Université Claude Bernard Lyon 1, 69622 Villeurbanne cedex, FranceCorrespondence[email protected]
Pages 433-458 | Accepted 01 Dec 2006, Published online: 01 May 2007

Citations (12)

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Clair Poignard. (2007) Generalized impedance boundary condition at high frequency for a domain with thin layer: the circular case. Applicable Analysis 86:12, pages 1549-1568.
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Articles from other publishers (11)

Narek Hovsepyan. (2023) On the distribution of Born transmission eigenvalues in the complex plane. Asymptotic Analysis 136:1, pages 27-60.
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Fioralba Cakoni, Narek Hovsepyan & Michael S. Vogelius. (2023) Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index. Journal de Mathématiques Pures et Appliquées.
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Tuğba Akyel & Massimo Lanza de Cristoforis. (2022) Asymptotic behavior of the solutions of a transmission problem for the Helmholtz equation: A functional analytic approach. Mathematical Methods in the Applied Sciences 45:9, pages 5360-5387.
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Stefan Sauter & Céline Torres. (2021) The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates. Asymptotic Analysis 125:3-4, pages 289-325.
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Arnaud Heibig, Nidhal Mannai, Adrien Petrov & Yves Renard. (2021) A thick‐point approximation of a small body embedded in an elastic medium: justification with an asymptotic analysis. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik.
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Andrea Moiola & Euan A. Spence. (2019) Acoustic transmission problems: Wavenumber-explicit bounds and resonance-free regions. Mathematical Models and Methods in Applied Sciences 29:02, pages 317-354.
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Makrem Arfaoui, Mohamed Rafik Ben Hassine, Maher Moakher, Yves Renard & Grégory Vial. (2017) Multi-Scale Asymptotic Expansion for a Small Inclusion in Elastic Media. Journal of Elasticity 131:2, pages 207-237.
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Seungil Kim. (2014) Analysis of an approximate cloaking for acoustic scattering problems in . Applied Mathematics and Computation 232, pages 117-131.
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Hoai-Minh Nguyen & Michael S. Vogelius. (2011) Full Range Scattering Estimates and Their Application to Cloaking. Archive for Rational Mechanics and Analysis 203:3, pages 769-807.
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Habib Ammari, Pierre Garapon, Lili Guadarrama Bustos & Hyeonbae Kang. (2010) Transient anomaly imaging by the acoustic radiation force. Journal of Differential Equations 249:7, pages 1579-1595.
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Derek J Hansen & Michael S Vogelius. (2008) High frequency perturbation formulas for the effect of small inhomogeneities. Journal of Physics: Conference Series 135, pages 012106.
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