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):

A novel study on the bifocusing method for imaging unknown objects in two-dimensional inverse scattering problem

Sangwoo Kang and Won-Kwang Park
AIMS Mathematics 8 (11) 27080 (2023)
DOI: 10.3934/math.20231386
See this article

Jingzhi Li and Hongyu Liu
315 (2023)
DOI: 10.1007/978-981-99-3772-1_9
See this article

On the identification of small anomaly in microwave imaging without homogeneous background information

Won-Kwang Park
AIMS Mathematics 8 (11) 27210 (2023)
DOI: 10.3934/math.20231392
See this article

Reconstruction of small and extended regions in EIT with a Robin transmission condition

Govanni Granados and Isaac Harris
Inverse Problems 38 (10) 105009 (2022)
DOI: 10.1088/1361-6420/ac8b2e
See this article

An integral equation method for the Helmholtz problem in the presence of small anisotropic inclusions

Houssem Lihiou and Abdessatar Khelifi
Complex Variables and Elliptic Equations 67 (2) 384 (2022)
DOI: 10.1080/17476933.2020.1833866
See this article

Investigation of a non-iterative technique based on topological derivatives for fast localization of small conductivity inclusions

Won-Kwang Park
Computers & Mathematics with Applications 120 45 (2022)
DOI: 10.1016/j.camwa.2022.06.022
See this article

The topological ligament in shape optimization: a connection with thin tubular inhomogeneities

Charles Dapogny
The SMAI journal of computational mathematics 7 185 (2022)
DOI: 10.5802/smai-jcm.76
See this article

Geometric Partial Differential Equations - Part II

Grégoire Allaire, Charles Dapogny and François Jouve
Handbook of Numerical Analysis, Geometric Partial Differential Equations - Part II 22 1 (2021)
DOI: 10.1016/bs.hna.2020.10.004
See this article

Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations

Justine Labat, Victor Péron and Sébastien Tordeux
Wave Motion 92 102409 (2020)
DOI: 10.1016/j.wavemoti.2019.102409
See this article

Kohn-Vogelius formulation and high-order topological asymptotic formula for identifying small obstacles in a fluid medium

Montassar Barhoumi
Analele Universitatii "Ovidius" Constanta - Seria Matematica 28 (1) 35 (2020)
DOI: 10.2478/auom-2020-0003
See this article

Kirchhoff Migration for Identifying Unknown Targets Surrounded by Random Scatterers

Chi Young Ahn, Taeyoung Ha and Won-Kwang Park
Applied Sciences 9 (20) 4446 (2019)
DOI: 10.3390/app9204446
See this article

Imaging point sources in heterogeneous environments

Kui Ren and Yimin Zhong
Inverse Problems 35 (12) 125003 (2019)
DOI: 10.1088/1361-6420/ab3497
See this article

An Elastic Model for Volcanology

Andrea Aspri
Lecture Notes in Geosystems Mathematics and Computing, 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
Lecture Notes in Geosystems Mathematics and Computing, An Elastic Model for Volcanology 1 (2019)
DOI: 10.1007/978-3-030-31475-0_1
See this article

Mathematical modeling of the photoacoustic effect generated by the heating of metallic nanoparticles

Faouzi Triki and Margaux Vauthrin
Quarterly of Applied Mathematics 76 (4) 673 (2018)
DOI: 10.1090/qam/1502
See this article

Performance analysis of multi-frequency topological derivative for reconstructing perfectly conducting cracks

Won-Kwang Park
Journal of Computational Physics 335 865 (2017)
DOI: 10.1016/j.jcp.2017.02.007
See this article

Fast Magnetic Resonance Electrical Impedance Tomography with Highly Undersampled Data

Yizhuang Song, Habib Ammari and Jin Keun Seo
SIAM Journal on Imaging Sciences 10 (2) 558 (2017)
DOI: 10.1137/16M1071468
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

Effects of reconstructed magnetic field from sparse noisy boundary measurements on localization of active neural source

Hui-min Shen, Kok-Meng Lee, Liang Hu, Shaohui Foong and Xin Fu
Medical & Biological Engineering & Computing 54 (1) 177 (2016)
DOI: 10.1007/s11517-015-1381-9
See this article

Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks in full- and limited-view inverse scattering problems

Won-Kwang Park
Journal of Computational Physics 283 52 (2015)
DOI: 10.1016/j.jcp.2014.11.036
See this article

Numerical Reconstruction of Electromagnetic Inclusions in Three Dimensions

Gang Bao, Junshan Lin and Séraphin M. Mefire
SIAM Journal on Imaging Sciences 7 (1) 558 (2014)
DOI: 10.1137/130937640
See this article

Ground detection by a single electromagnetic far-field measurement

Jingzhi Li, Hongyu Liu, Yuanchang Sun and Qi Wang
Journal of Computational Physics 273 472 (2014)
DOI: 10.1016/j.jcp.2014.05.027
See this article

Asymptotic expansions for transmission eigenvalues for media with small inhomogeneities

Fioralba Cakoni and Shari Moskow
Inverse Problems 29 (10) 104014 (2013)
DOI: 10.1088/0266-5611/29/10/104014
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

Numerical solution of an inverse initial boundary-value problem for the full time-dependent Maxwell's equations in the presence of imperfections of small volume

Christian Daveau, Diane Manuel Douady, Abdessatar Khelifi and Anton Sushchenko
Applicable Analysis 92 (5) 975 (2013)
DOI: 10.1080/00036811.2011.643782
See this article

Electrical tissue property imaging using MRI at dc and Larmor frequency

Jin Keun Seo, Dong-Hyun Kim, Joonsung Lee, et al.
Inverse Problems 28 (8) 084002 (2012)
DOI: 10.1088/0266-5611/28/8/084002
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

Second-order topological expansion for electrical impedance tomography

M. Hintermüller, A. Laurain and A. A. Novotny
Advances in Computational Mathematics 36 (2) 235 (2012)
DOI: 10.1007/s10444-011-9205-4
See this article

Inverse source problems for eddy current equations

Ana Alonso Rodríguez, Jessika Camaño and Alberto Valli
Inverse Problems 28 (1) 015006 (2012)
DOI: 10.1088/0266-5611/28/1/015006
See this article

A Direct Algorithm for Ultrasound Imaging of Internal Corrosion

Habib Ammari, Hyeonbae Kang, Eunjoo Kim, Mikyoung Lim and Kaouthar Louati
SIAM Journal on Numerical Analysis 49 (3) 1177 (2011)
DOI: 10.1137/100784710
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

Reconstruction of closely spaced small inhomogeneities via boundary measurements for the full time-dependent Maxwell’s equations

Christian Daveau, Abdessatar Khelifi and Anton Sushchenko
Applied Mathematical Modelling 33 (3) 1719 (2009)
DOI: 10.1016/j.apm.2008.03.012
See this article

MultiFrequency Trans-Admittance Scanner: Mathematical Framework and Feasibility

Sungwhan Kim, Jeehyun Lee, Jin Keun Seo, Eung Je Woo and Habib Zribi
SIAM Journal on Applied Mathematics 69 (1) 22 (2008)
DOI: 10.1137/070683593
See this article

An Asymptotic Factorization Method for Inverse Electromagnetic Scattering in Layered Media

Roland Griesmaier
SIAM Journal on Applied Mathematics 68 (5) 1378 (2008)
DOI: 10.1137/060677021
See this article

Topological sensitivity and FMM-accelerated BEM applied to 3D acoustic inverse scattering

Nicolas Nemitz and Marc Bonnet
Engineering Analysis with Boundary Elements 32 (11) 957 (2008)
DOI: 10.1016/j.enganabound.2007.02.006
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

From Differential Calculus to 0‐1 Topological Optimization

Maatoug Hassine, Sophie Jan and Mohamed Masmoudi
SIAM Journal on Control and Optimization 45 (6) 1965 (2007)
DOI: 10.1137/050631720
See this article

Imaging of multiple linear cracks using impedance data

Kurt Bryan, Rachel Krieger and Nic Trainor
Journal of Computational and Applied Mathematics 200 (1) 388 (2007)
DOI: 10.1016/j.cam.2006.01.006
See this article

Kinetic Models for Imaging in Random Media

Guillaume Bal and Olivier Pinaud
Multiscale Modeling & Simulation 6 (3) 792 (2007)
DOI: 10.1137/060678464
See this article

Fast imaging of partially conductive linear cracks using impedance data

Kurt Bryan, Janine Haugh and David McCune
Inverse Problems 22 (4) 1337 (2006)
DOI: 10.1088/0266-5611/22/4/013
See this article

Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics

Bojan B Guzina and Marc Bonnet
Inverse Problems 22 (5) 1761 (2006)
DOI: 10.1088/0266-5611/22/5/014
See this article

Asymptotic Formulas for the Voltage Potential in a Composite Medium Containing Close or Touching Disks of Small Diameter

M. F. Ben Hassen and E. Bonnetier
Multiscale Modeling & Simulation 4 (1) 250 (2005)
DOI: 10.1137/030602083
See this article

Recovery of pointwise sources or small inclusions in 2D domains and rational approximation

L Baratchart, A Ben Abda, F Ben Hassen and J Leblond
Inverse Problems 21 (1) 51 (2005)
DOI: 10.1088/0266-5611/21/1/005
See this article

Two Numerical Methods for Recovering Small Inclusions from the Scattering Amplitude at a Fixed Frequency

Habib Ammari, Ekaterina Iakovleva and Dominique Lesselier
SIAM Journal on Scientific Computing 27 (1) 130 (2005)
DOI: 10.1137/040612518
See this article

ON THE USE OF THE RECIPROCITY-GAP FUNCTIONAL IN INVERSE SCATTERING FROM PLANAR CRACKS

AMEL BEN ABDA, FABRICE DELBARY and HOUSSEM HADDAR
Mathematical Models and Methods in Applied Sciences 15 (10) 1553 (2005)
DOI: 10.1142/S0218202505000819
See this article

Reconstruction of Closely Spaced Small Inclusions

Habib Ammari, Hyeonbae Kang, Eunjoo Kim and Mikyoung Lim
SIAM Journal on Numerical Analysis 42 (6) 2408 (2005)
DOI: 10.1137/S0036142903422752
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

Time-reversal-based detection in random media

Guillaume Bal and Olivier Pinaud
Inverse Problems 21 (5) 1593 (2005)
DOI: 10.1088/0266-5611/21/5/006
See this article

The boundary element method for the numerical recovery of a circular inhomogeneity in an elliptic equation

L. Marin, L. Elliott, D.B. Ingham and D. Lesnic
Engineering Analysis with Boundary Elements 28 (4) 413 (2004)
DOI: 10.1016/S0955-7997(03)00088-2
See this article

T-Scan Electrical Impedance Imaging System for Anomaly Detection

Habib Ammari, Ohin Kwon, Jin Keun Seo and Eung Je Woo
SIAM Journal on Applied Mathematics 65 (1) 252 (2004)
DOI: 10.1137/S003613990343375X
See this article

Identification of simple poles via boundary measurements and an application of EIT

Hyeonbae Kang and Hyundae Lee
Inverse Problems 20 (6) 1853 (2004)
DOI: 10.1088/0266-5611/20/6/010
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

Correction of order three for the expansion of two dimensional electromagnetic fields perturbed by the presence of inhomogeneities of small diameter

Habib Ammari and Darko Volkov
Journal of Computational Physics 189 (2) 371 (2003)
DOI: 10.1016/S0021-9991(03)00224-9
See this article

Numerical methods for locating small dielectric inhomogeneities

Darko Volkov
Wave Motion 38 (3) 189 (2003)
DOI: 10.1016/S0165-2125(03)00047-7
See this article

Identification of elastic inclusions and elastic moment tensors by boundary measurements

Hyeonbae Kang, Eunjoo Kim and June-Yub Lee
Inverse Problems 19 (3) 703 (2003)
DOI: 10.1088/0266-5611/19/3/314
See this article

Electromagnetic scattering by small dielectric inhomogeneities

Habib Ammari and Abdessatar Khelifi
Journal de Mathématiques Pures et Appliquées 82 (7) 749 (2003)
DOI: 10.1016/S0021-7824(03)00033-3
See this article

Optical tomography for small volume absorbing inclusions

Guillaume Bal
Inverse Problems 19 (2) 371 (2003)
DOI: 10.1088/0266-5611/19/2/308
See this article

High-Order Terms in the Asymptotic Expansions of the Steady-State Voltage Potentials in the Presence of Conductivity Inhomogeneities of Small Diameter

Habib Ammari and Hyeonbae Kang
SIAM Journal on Mathematical Analysis 34 (5) 1152 (2003)
DOI: 10.1137/S0036141001399234
See this article

Recovery of Small Inhomogeneities from the Scattering Amplitude at a Fixed Frequency

Habib Ammari, Ekaterina Iakovleva and Shari Moskow
SIAM Journal on Mathematical Analysis 34 (4) 882 (2003)
DOI: 10.1137/S0036141001392785
See this article

A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction

Yves Capdeboscq and Michael S. Vogelius
ESAIM: Mathematical Modelling and Numerical Analysis 37 (1) 159 (2003)
DOI: 10.1051/m2an:2003014
See this article