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Publication Cover
Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 4: Special Issue on Inverse Problems and Applications
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Original Articles

On a two-dimensional inverse scattering problem for a dielectric

Ahmet Altundag Institut für Numerische und Angewandte Mathematik, Universität Göttingen, 37083 Göttingen, Germany
&
Rainer Kress Institut für Numerische und Angewandte Mathematik, Universität Göttingen, 37083 Göttingen, GermanyCorrespondence[email protected]
Pages 757-771 | Received 29 Mar 2011, Accepted 30 Aug 2011, Published online: 27 Sep 2011

Citations (19)

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Read on this site (4)

Ji-Chuan Liu. (2022) Reconstruction algorithms of an inverse conductive scattering problem for the Helmholtz equation. Applicable Analysis 101:7, pages 2669-2685.
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D. Gintides & L. Mindrinos. (2019) The inverse electromagnetic scattering problem by a penetrable cylinder at oblique incidence. Applicable Analysis 98:4, pages 781-798.
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Ji-Chuan Liu. (2017) Reconstruction Algorithms of an Inverse Coefficient Identification Problem for the Schrödinger Equation. Mathematical Modelling and Analysis 22:3, pages 352-372.
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Ji-Chuan Liu. Simultaneous reconstruction of the shape and surface impedance from Cauchy data for the Helmholtz equation. Optimization 0:0, pages 1-17.
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Articles from other publishers (15)

D Gintides, S Giogiakas & L Mindrinos. (2023) The scattering problem of obliquely incident electromagnetic waves by an inhomogeneous infinitely long cylinder. Physica Scripta 98:11, pages 115517.
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Fenglong Qu, Ruixue Jia & Yanli Cui. (2023) Imaging a coated dielectric with various unknown buried objects inside. Mathematical Methods in the Applied Sciences 46:13, pages 14243-14259.
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Fenglong Qu, Ruixue Jia & Yanli Cui. (2023) Inverse Conductive Medium Scattering with Unknown Buried Objects. Acta Mathematica Scientia 43:5, pages 2005-2025.
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Leonidas Mindrinos. (2023) The Electromagnetic Scattering Problem by a Cylindrical Doubly-Connected Domain at Oblique Incidence: An Inverse Problem. Journal of Advances in Applied & Computational Mathematics 10, pages 18-25.
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Jianli Xiang & Guozheng Yan. (2021) The factorization method for inhomogeneous medium with an impenetrable obstacle. Computational and Applied Mathematics 40:8.
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Jianli Xiang & Guozheng Yan. (2021) The factorization method for the scattering by a mixed inhomogeneous medium. IMA Journal of Applied Mathematics 86:4, pages 662-687.
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Jianli Xiang & Guozheng Yan. (2021) The fluid-solid interaction scattering problem with unknown buried objects. Journal of Inverse and Ill-posed Problems 29:1, pages 1-19.
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Roman Chapko & Leonidas Mindrinos. (2019) On the non-linear integral equation approach for an inverse boundary value problem for the heat equation. Journal of Engineering Mathematics 119:1, pages 255-268.
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Fenglong Qu & Haiwen Zhang. (2019) Locating a complex inhomogeneous medium with an approximate factorization method. Inverse Problems 35:4, pages 045001.
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David Colton & Rainer KressDavid Colton & Rainer Kress. 2019. Inverse Acoustic and Electromagnetic Scattering Theory. Inverse Acoustic and Electromagnetic Scattering Theory 137 217 .
Roman Chapko, Drossos Gintides & Leonidas Mindrinos. (2017) The inverse scattering problem by an elastic inclusion. Advances in Computational Mathematics 44:2, pages 453-476.
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Ahmet Altundag. 2016. Intelligent Mathematics II: Applied Mathematics and Approximation Theory. Intelligent Mathematics II: Applied Mathematics and Approximation Theory 57 71 .
Haiwen Zhang & Bo Zhang. (2013) A Newton method for a simultaneous reconstruction of an interface and a buried obstacle from far-field data. Inverse Problems 29:4, pages 045009.
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Jiaqing Yang, Bo Zhang & Haiwen Zhang. (2013) The Factorization Method for Reconstructing a Penetrable Obstacle with Unknown Buried Objects. SIAM Journal on Applied Mathematics 73:2, pages 617-635.
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Ahmet Altundag. 2013. Advances in Applied Mathematics and Approximation Theory. Advances in Applied Mathematics and Approximation Theory 183 200 .

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