EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 37 1 (2003) 159-173 Article references

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):

Enhanced Resolution in Structured Media

Habib Ammari, Eric Bonnetier and Yves Capdeboscq
SIAM Journal on Applied Mathematics 70 (5) 1428 (2010)
DOI: 10.1137/090748639
See this article

Numerical reconstruction of a cluster of small elastic inclusions

Hyeonbae Kang, Eunjoo Kim and June-Yub Lee
Inverse Problems 23 (6) 2311 (2007)
DOI: 10.1088/0266-5611/23/6/002
See this article

Small volume asymptotics for anisotropic elastic inclusions

Anna L. Mazzucato, Elisa Francini, Eric Bonnetier and Elena Beretta
Inverse Problems and Imaging 6 (1) 1 (2012)
DOI: 10.3934/ipi.2012.6.1
See this article

Perturbative numeric approach in microwave imaging

A. Rozanova-Pierrat
Applicable Analysis 89 (12) 1855 (2010)
DOI: 10.1080/00036811.2010.499505
See this article

Electrical Impedance Tomography by Elastic Deformation

H. Ammari, E. Bonnetier, Y. Capdeboscq, M. Tanter and M. Fink
SIAM Journal on Applied Mathematics 68 (6) 1557 (2008)
DOI: 10.1137/070686408
See this article

Direct Algorithms for Thermal Imaging of Small Inclusions

Habib Ammari, Ekaterina Iakovleva, Hyeonbae Kang and Kyoungsun Kim
Multiscale Modeling & Simulation 4 (4) 1116 (2005)
DOI: 10.1137/040620266
See this article

Reconstruction of Thin Tubular Inclusions in Three-Dimensional Domains Using Electrical Impedance Tomography

Roland Griesmaier
SIAM Journal on Imaging Sciences 3 (3) 340 (2010)
DOI: 10.1137/090764074
See this article

An Elastic Model for Volcanology

Andrea Aspri
An Elastic Model for Volcanology 11 (2019)
DOI: 10.1007/978-3-030-31475-0_2
See this article

An Elastic Model for Volcanology

Andrea Aspri
An Elastic Model for Volcanology 1 (2019)
DOI: 10.1007/978-3-030-31475-0_1
See this article

An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology

Elena Beretta, Cecilia Cavaterra, M Cristina Cerutti, Andrea Manzoni and Luca Ratti
Inverse Problems 33 (10) 105008 (2017)
DOI: 10.1088/1361-6420/aa8737
See this article

Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis

Elena Beretta, Elisa Francini and Michael S. Vogelius
Journal de Mathématiques Pures et Appliquées 82 (10) 1277 (2003)
DOI: 10.1016/S0021-7824(03)00081-3
See this article

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

Habib Ammari, Elena Beretta and Elisa Francini
Applicable Analysis 85 (1-3) 87 (2006)
DOI: 10.1080/00036810500277736
See this article

Interior Regularity Estimates in High Conductivity Homogenization and Application

Marc Briane, Yves Capdeboscq and Luc Nguyen
Archive for Rational Mechanics and Analysis 207 (1) 75 (2013)
DOI: 10.1007/s00205-012-0553-0
See this article

Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements

Yves Capdeboscq and Michael S. Vogelius
ESAIM: Mathematical Modelling and Numerical Analysis 37 (2) 227 (2003)
DOI: 10.1051/m2an:2003024
See this article

Spectral properties of the Neumann–Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients

Hyeonbae Kang, Kyoungsun Kim, Hyundae Lee, Jaemin Shin and Sanghyeon Yu
Journal of the London Mathematical Society 93 (2) 519 (2016)
DOI: 10.1112/jlms/jdw003
See this article

Asymptotic expansion of steady-state potential in a high contrast medium with a thin resistive layer

Ronan Perrussel and Clair Poignard
Applied Mathematics and Computation 221 48 (2013)
DOI: 10.1016/j.amc.2013.06.047
See this article

Asymptotics for the potential in a periodic network with localized defects

Eric Bonnetier and Sivaji Ganesh Sista
PAMM 7 (1) 1050601 (2007)
DOI: 10.1002/pamm.200700174
See this article

MUSIC‐Type Electromagnetic Imaging of a Collection of Small Three‐Dimensional Inclusions

Habib Ammari, Ekaterina Iakovleva, Dominique Lesselier and Gaële Perrusson
SIAM Journal on Scientific Computing 29 (2) 674 (2007)
DOI: 10.1137/050640655
See this article

An application of impediography to the high sensitivity and high resolution identification of structural damage

L Zhao, J Yang, K W Wang and F Semperlotti
Smart Materials and Structures 24 (6) 065044 (2015)
DOI: 10.1088/0964-1726/24/6/065044
See this article

Polarization tensors and effective properties of anisotropic composite materials

Habib Ammari, Hyeonbae Kang and Kyoungsun Kim
Journal of Differential Equations 215 (2) 401 (2005)
DOI: 10.1016/j.jde.2004.09.010
See this article

Two-scale analysis for very rough thin layers. An explicit characterization of the polarization tensor

Ionel Sorin Ciuperca, Ronan Perrussel and Clair Poignard
Journal de Mathématiques Pures et Appliquées 95 (3) 277 (2011)
DOI: 10.1016/j.matpur.2010.12.001
See this article

A general perturbation formula for electromagnetic fields in presence of low volume scatterers

Roland Griesmaier
ESAIM: Mathematical Modelling and Numerical Analysis 45 (6) 1193 (2011)
DOI: 10.1051/m2an/2011015
See this article

Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity

Charles Dapogny and Michael S. Vogelius
Chinese Annals of Mathematics, Series B 38 (1) 293 (2017)
DOI: 10.1007/s11401-016-1072-3
See this article

A variational approach to edge detection

Monika Muszkieta
Inverse Problems and Imaging 10 (2) 499 (2016)
DOI: 10.3934/ipi.2016009
See this article

The extended adjoint method

Stanislas Larnier and Mohamed Masmoudi
ESAIM: Mathematical Modelling and Numerical Analysis 47 (1) 83 (2013)
DOI: 10.1051/m2an/2012020
See this article

Multi-Scale Asymptotic Expansion for a Small Inclusion in Elastic Media

Makrem Arfaoui, Mohamed Rafik Ben Hassine, Maher Moakher, Yves Renard and Grégory Vial
Journal of Elasticity 131 (2) 207 (2018)
DOI: 10.1007/s10659-017-9653-2
See this article

Asymptotically precise norm estimates of scattering from a small circular inhomogeneity

Derek J. Hansen, Clair Poignard and Michael S. Vogelius
Applicable Analysis 86 (4) 433 (2007)
DOI: 10.1080/00036810701243073
See this article

Numerical computation of approximate generalized polarization tensors

Yves Capdeboscq, Anton Bongio Karrman and Jean-Claude Nédélec
Applicable Analysis 91 (6) 1189 (2012)
DOI: 10.1080/00036811.2011.641175
See this article

Detection of multiple inclusions from sweep data of electrical impedance tomography

Nuutti Hyvönen and Otto Seiskari
Inverse Problems 28 (9) 095014 (2012)
DOI: 10.1088/0266-5611/28/9/095014
See this article

Polarization tensors and their applications

Habib Ammari, Hyeonbae Kang and Mikyoung Lim
Journal of Physics: Conference Series 12 13 (2005)
DOI: 10.1088/1742-6596/12/1/002
See this article

Generalized polarization tensors for shape description

Habib Ammari, Josselin Garnier, Hyeonbae Kang, Mikyoung Lim and Sanghyeon Yu
Numerische Mathematik 126 (2) 199 (2014)
DOI: 10.1007/s00211-013-0561-5
See this article

A variational algorithm for the detection of line segments

Otmar Scherzer, Monika Muszkieta, Markus Grasmair and Elena Beretta
Inverse Problems and Imaging 8 (2) 389 (2014)
DOI: 10.3934/ipi.2014.8.389
See this article

Boundary voltage perturbations caused by small conductivity inhomogeneities nearly touching the boundary

Habib Ammari, Mark Asch and Hyeonbae Kang
Advances in Applied Mathematics 35 (4) 368 (2005)
DOI: 10.1016/j.aam.2004.06.007
See this article

A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity

Hoai-Minh Nguyen and Michael S. Vogelius
Annales de l'Institut Henri Poincare (C) Non Linear Analysis 26 (6) 2283 (2009)
DOI: 10.1016/j.anihpc.2009.03.005
See this article

An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology

Elena Beretta, M. Cristina Cerutti, Andrea Manzoni and Dario Pierotti
Mathematical Models and Methods in Applied Sciences 26 (04) 645 (2016)
DOI: 10.1142/S0218202516500135
See this article

Polarization tensors of planar domains as functions of the admittivity contrast

Roland Griesmaier and Martin Hanke
Applicable Analysis 96 (6) 970 (2017)
DOI: 10.1080/00036811.2016.1169528
See this article

On a Regularized Scheme for Approximate Acoustic Cloaking Using Transformation Optics

Hoai-Minh Nguyen
SIAM Journal on Mathematical Analysis 45 (5) 3034 (2013)
DOI: 10.1137/120902124
See this article

Obstacles reconstruction from partial boundary measurements based on the topological derivative concept

S. S. Rocha and A. A. Novotny
Structural and Multidisciplinary Optimization 55 (6) 2131 (2017)
DOI: 10.1007/s00158-016-1632-x
See this article

Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors

Habib Ammari, Youjun Deng, Hyeonbae Kang and Hyundae Lee
Annales de l'Institut Henri Poincare (C) Non Linear Analysis 31 (5) 877 (2014)
DOI: 10.1016/j.anihpc.2013.07.008
See this article

Handbook of Mathematical Methods in Imaging

Habib Ammari and Hyeonbae Kang
Handbook of Mathematical Methods in Imaging 535 (2015)
DOI: 10.1007/978-1-4939-0790-8_47
See this article

Mathematical Modeling in Biomedical Imaging I

Habib Ammari and Hyeonbae Kang
Lecture Notes in Mathematics, Mathematical Modeling in Biomedical Imaging I 1983 99 (2009)
DOI: 10.1007/978-3-642-03444-2_3
See this article

Asymptotics for steady-state voltage potentials in a bidimensional highly contrasted medium with thin layer

Clair Poignard
Mathematical Methods in the Applied Sciences 31 (4) 443 (2008)
DOI: 10.1002/mma.923
See this article

Improved Hashin–Shtrikman Bounds for Elastic Moment Tensors and an Application

Yves Capdeboscq and Hyeonbae Kang
Applied Mathematics and Optimization 57 (2) 263 (2008)
DOI: 10.1007/s00245-007-9022-9
See this article

Asymptotics for the voltage potential in a periodic network with localized defects

Eric Bonnetier and Sivaji-Ganesh Sista
Mathematical Methods in the Applied Sciences 31 (10) 1175 (2008)
DOI: 10.1002/mma.963
See this article

Approximate transmission conditions through a weakly oscillating thin layer

Clair Poignard
Mathematical Methods in the Applied Sciences 32 (4) 435 (2009)
DOI: 10.1002/mma.1045
See this article

IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials

Yves Capdeboscq
Solid Mechanics and Its Applications, IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials 137 197 (2006)
DOI: 10.1007/1-4020-4752-5_20
See this article

Noniterative Reconstruction Method for an Inverse Potential Problem Modeled by a Modified Helmholtz Equation

L. Fernandez, A. A. Novotny and R. Prakash
Numerical Functional Analysis and Optimization 39 (9) 937 (2018)
DOI: 10.1080/01630563.2018.1432645
See this article

Handbook of Mathematical Methods in Imaging

Habib Ammari and Hyeonbae Kang
Handbook of Mathematical Methods in Imaging 447 (2011)
DOI: 10.1007/978-0-387-92920-0_11
See this article

Explicit characterization of the polarization tensor for rough thin layers

C. POIGNARD
European Journal of Applied Mathematics 22 (1) 1 (2011)
DOI: 10.1017/S0956792510000252
See this article

The Mathematical Legacy of Leon Ehrenpreis

Peter Kuchment
Springer Proceedings in Mathematics, The Mathematical Legacy of Leon Ehrenpreis 16 183 (2012)
DOI: 10.1007/978-88-470-1947-8_12
See this article

Topological Derivatives of Shape Functionals. Part III: Second-Order Method and Applications

Antonio André Novotny, Jan Sokołowski and Antoni Żochowski
Journal of Optimization Theory and Applications 181 (1) 1 (2019)
DOI: 10.1007/s10957-018-1420-4
See this article

Topological asymptotic expansions for the generalized Poisson problem with small inclusions and applications in lubrication

Gustavo C Buscaglia, Ionel Ciuperca and Mohammed Jai
Inverse Problems 23 (2) 695 (2007)
DOI: 10.1088/0266-5611/23/2/014
See this article

Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data

Elena Beretta, Yves Capdeboscq, Frédéric de Gournay and Elisa Francini
Inverse Problems 25 (6) 065004 (2009)
DOI: 10.1088/0266-5611/25/6/065004
See this article

A non-iterative method for the electrical impedance tomography based on joint sparse recovery

Ok Kyun Lee, Hyeonbae Kang, Jong Chul Ye and Mikyoung Lim
Inverse Problems 31 (7) 075002 (2015)
DOI: 10.1088/0266-5611/31/7/075002
See this article

A source sensitivity approach for source localization in steady-state linear systems

Anthony Sabelli and Wilkins Aquino
Inverse Problems 29 (9) 095005 (2013)
DOI: 10.1088/0266-5611/29/9/095005
See this article

A new non-iterative reconstruction method for the electrical impedance tomography problem

A D Ferreira and A A Novotny
Inverse Problems 33 (3) 035005 (2017)
DOI: 10.1088/1361-6420/aa54e4
See this article

A regularized Newton method for locating thin tubular conductivity inhomogeneities

Roland Griesmaier and Nuutti Hyvönen
Inverse Problems 27 (11) 115008 (2011)
DOI: 10.1088/0266-5611/27/11/115008
See this article

A uniformly valid model for the limiting behaviour of voltage potentials in the presence of thin inhomogeneities I. The case of an open mid-curve

M. Charnley and M.S. Vogelius
Asymptotic Analysis 117 (3-4) 215 (2020)
DOI: 10.3233/ASY-191553
See this article