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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 2
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Articles

An improved time domain linear sampling method for Robin and Neumann obstacles

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Pages 369-390 | Received 17 Oct 2012, Accepted 29 Jan 2013, Published online: 04 Mar 2013

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Read on this site (5)

I. Harris & S. Rome. (2017) Near field imaging of small isotropic and extended anisotropic scatterers. Applicable Analysis 96:10, pages 1713-1736.
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Bo Chen, Fuming Ma & Yukun Guo. (2017) Time domain scattering and inverse scattering problems in a locally perturbed half-plane. Applicable Analysis 96:8, pages 1303-1325.
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J. Guo, G. Yan & J. Zhou. (2017) The direct and inverse problem for an inclusion within a heat-conducting layered medium. Applicable Analysis 96:2, pages 231-246.
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Y. Guo, P. Monk & D. Colton. (2016) The linear sampling method for sparse small aperture data. Applicable Analysis 95:8, pages 1599-1615.
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Timo Lähivaara, Peter Monk & Virginia Selgas. (2022) The Time Domain Linear Sampling Method for Determining the Shape of Multiple Scatterers Using Electromagnetic Waves. Computational Methods in Applied Mathematics 22:4, pages 889-913.
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Lu Zhao, Heping Dong & Fuming Ma. (2022) Inverse obstacle scattering for elastic waves in the time domain. Inverse Problems 38:4, pages 045005.
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Jun Guo & Haibing Wang. (2022) On the direct and inverse electromagnetic scattering by chiral media. Journal of Differential Equations 317, pages 495-523.
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Matthew J. Burfeindt & Hatim F. Alqadah. (2022) Phase-Encoded Linear Sampling Method Imaging of Conducting Surfaces From Full and Limited Synthetic Apertures. IEEE Open Journal of Antennas and Propagation 3, pages 1191-1205.
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Fioralba Cakoni, Peter Monk & Virginia Selgas. (2021) Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Analysis & PDE 14:3, pages 667-688.
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Lu Zhao, Heping Dong & Fuming Ma. (2021) Inverse obstacle scattering for acoustic waves in the time domain. Inverse Problems & Imaging 0:0, pages 0.
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Aaron C. Prunty, Roel K. Snieder & Christoph Sens-Schönfelder. (2021) Acoustic imaging using unknown random sources. The Journal of the Acoustical Society of America 149:1, pages 499-507.
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Houssem Haddar & Xiaoli Liu. (2020) A time domain factorization method for obstacles with impedance boundary conditions. Inverse Problems 36:10, pages 105011.
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Andrea Mantile & Andrea Posilicano. (2020) Inverse wave scattering in the Laplace domain: A factorization method approach. Proceedings of the American Mathematical Society 148:9, pages 3975-3988.
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Aaron C Prunty & Roel K Snieder. (2020) An acoustic Lippmann-Schwinger inversion method: applications and comparison with the linear sampling method. Journal of Physics Communications 4:1, pages 015007.
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Minfu Zhang, Fuming Ma & Bo Chen. (2019) Unique solvability and stability of the time domain electromagnetic scattering problem with a locally perturbed perfectly conducting plate. Boundary Value Problems 2019:1.
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Marie Graff, Marcus J Grote, Frédéric Nataf & Franck Assous. (2019) How to solve inverse scattering problems without knowing the source term: a three-step strategy. Inverse Problems 35:10, pages 104001.
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Aaron C Prunty & Roel K Snieder. (2019) Theory of the linear sampling method for time-dependent fields. Inverse Problems 35:5, pages 055003.
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Isaac Harris & Andreas Kleefeld. (2019) Analysis of new direct sampling indicators for far-field measurements. Inverse Problems 35:5, pages 054002.
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Fioralba Cakoni, Houssem Haddar & Armin Lechleiter. (2019) On the Factorization Method for a Far Field Inverse Scattering Problem in the Time Domain. SIAM Journal on Mathematical Analysis 51:2, pages 854-872.
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Aaron Prunty & Roel Snieder. (2018) A simple approach to imaging using scattered waves. A simple approach to imaging using scattered waves.
Fioralba Cakoni & Jacob D. Rezac. (2017) Direct imaging of small scatterers using reduced time dependent data. Journal of Computational Physics 338, pages 371-387.
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Gen Nakamura & Haibing Wang. (2017) Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method. Inverse Problems 33:5, pages 055002.
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Roland Griesmaier & Christian Schmiedecke. (2017) A Factorization Method for Multifrequency Inverse Source Problems with Sparse Far Field Measurements. SIAM Journal on Imaging Sciences 10:4, pages 2119-2139.
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Peter Monk & Virginia Selgas. (2016) An inverse acoustic waveguide problem in the time domain. Inverse Problems 32:5, pages 055001.
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Mehmet Nuri Akinci, Tughan Caglayan, Selcuk Ozgur, Ugur Alkasi, Habibullah Ahmadzay, Mehmet Abbak, Mehmet Cayoren & Ibrahim Akduman. (2015) Qualitative Microwave Imaging With Scattering Parameters Measurements. IEEE Transactions on Microwave Theory and Techniques 63:9, pages 2730-2740.
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Masaru Ikehata. (2014) Extracting the geometry of an obstacle and a zeroth-order coefficient of a boundary condition via the enclosure method using a single reflected wave over a finite time interval. Inverse Problems 30:4, pages 045011.
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Maya de Buhan & Marie Kray. (2013) A new approach to solve the inverse scattering problem for waves: combining the TRAC and the adaptive inversion methods. Inverse Problems 29:8, pages 085009.
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