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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 1-3: In Memory of Carlo Pucci. Guest Editors: Rolando Magnanini and Giorgio Talenti
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Original Articles

Reconstruction of thin conductivity imperfections, II. The case of multiple segments

Habib Ammari Centre de Mathématiques Appliqées, CNRS UMR 7641 & Ecole Polytechnique, 91128 Palaiseau Cedex, FranceCorrespondence[email protected]
,
Elena Beretta Dipartimento di Matematica “G, Castelnuovo” Università di Roma “La Sapienza”, Piazzale Aldo Moro 5, 00185 Roma, Italy
&
Elisa Francini Istituto per le Applicazioni del Calcolo, CNR, Polo Scientifico - Edificio F CNR, 50019 Sesto Fiorentino (FI), Italy
Pages 87-105 | Received 25 May 2004, Accepted 18 Jun 2004, Published online: 25 Jan 2007

Citations (15)

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Won-Kwang Park & Dominique Lesselier. (2012) Fast electromagnetic imaging of thin inclusions in half-space affected by random scatterers. Waves in Random and Complex Media 22:1, pages 3-23.
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Articles from other publishers (14)

Won-Kwang Park. (2022) Investigation of a non-iterative technique based on topological derivatives for fast localization of small conductivity inclusions. Computers & Mathematics with Applications 120, pages 45-59.
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Charles Dapogny. (2022) The topological ligament in shape optimization: a connection with thin tubular inhomogeneities. The SMAI journal of computational mathematics 7, pages 185-266.
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Yves Capdeboscq, Roland Griesmaier & Marvin Knöller. (2021) An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering. Multiscale Modeling & Simulation 19:2, pages 846-885.
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Habib Ammari, Jin Keun Seo & Tingting Zhang. (2016) Mathematical framework for multi-frequency identification of thin insulating and small conductive inhomogeneities. Inverse Problems 32:10, pages 105001.
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Elena Beretta, Elisa Francini & Sergio Vessella. (2014) Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements. Inverse Problems & Imaging 8:3, pages 611-644.
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Ronan Perrussel & Clair Poignard. (2013) Asymptotic expansion of steady-state potential in a high contrast medium with a thin resistive layer. Applied Mathematics and Computation 221, pages 48-65.
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Won-Kwang Park. (2013) Shape Reconstruction of Thin Electromagnetic Inclusions via Boundary Measurements: Level-Set Method Combined with the Topological Derivative. Mathematical Problems in Engineering 2013, pages 1-7.
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Roland Griesmaier & Nuutti Hyvönen. (2011) A regularized Newton method for locating thin tubular conductivity inhomogeneities. Inverse Problems 27:11, pages 115008.
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Roland Griesmaier. (2010) Reconstruction of Thin Tubular Inclusions in Three-Dimensional Domains Using Electrical Impedance Tomography. SIAM Journal on Imaging Sciences 3:3, pages 340-362.
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Won-Kwang Park & Dominique Lesselier. 2010. EKC 2009 Proceedings of the EU-Korea Conference on Science and Technology. EKC 2009 Proceedings of the EU-Korea Conference on Science and Technology 99 108 .
Won-Kwang Park & Dominique Lesselier. (2009) MUSIC-type imaging of a thin penetrable inclusion from its multi-static response matrix. Inverse Problems 25:7, pages 075002.
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Elena Beretta, Yves Capdeboscq, Frédéric de Gournay & Elisa Francini. (2009) Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data. Inverse Problems 25:6, pages 065004.
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Elena Beretta, Elisa Francini & Sergio Vessella. (2008) Determination of a Linear Crack in an Elastic Body from Boundary Measurements—Lipschitz Stability. SIAM Journal on Mathematical Analysis 40:3, pages 984-1002.
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Elena Beretta & Elisa Francini. (2006) An Asymptotic Formula for the Displacement Field in the Presence of Thin Elastic Inhomogeneities. SIAM Journal on Mathematical Analysis 38:4, pages 1249-1261.
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