Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements
ESAIM: M2AN, 37 2 (2003) 227-240
Published online: 2003-11-15
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):
An Extremal Problem Arising in the Dynamics of Two‐Phase Materials That Directly Reveals Information about the Internal Geometry
Ornella Mattei, Graeme W. Milton and Mihai PutinarCommunications on Pure and Applied Mathematics 76 (10) 2372 (2023)
https://doi.org/10.1002/cpa.22082
Size estimates for nanoplates
Antonino Morassi, Edi Rosset, Eva Sincich and Sergio VessellaInverse Problems 39 (6) 065005 (2023)
https://doi.org/10.1088/1361-6420/acca9f
Geometric Properties for Parabolic and Elliptic PDE's
Yong-Gwan Ji, Hyeonbae Kang, Xiaofei Li and Shigeru SakaguchiSpringer INdAM Series, Geometric Properties for Parabolic and Elliptic PDE's 47 151 (2021)
https://doi.org/10.1007/978-3-030-73363-6_8
Maximizing the Electromagnetic Chirality of Thin Dielectric Tubes
Tilo Arens, Roland Griesmaier and Marvin KnöllerSIAM Journal on Applied Mathematics 81 (5) 1979 (2021)
https://doi.org/10.1137/21M1393509
Pollution Sources Reconstruction Based on the Topological Derivative Method
L. Fernandez, A. A. Novotny, R. Prakash and J. SokołowskiApplied Mathematics & Optimization 84 (2) 1493 (2021)
https://doi.org/10.1007/s00245-020-09685-0
An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering
Yves Capdeboscq, Roland Griesmaier and Marvin KnöllerMultiscale Modeling & Simulation 19 (2) 846 (2021)
https://doi.org/10.1137/20M1369907
An Elastic Model for Volcanology
Andrea AspriLecture Notes in Geosystems Mathematics and Computing, An Elastic Model for Volcanology 1 (2019)
https://doi.org/10.1007/978-3-030-31475-0_1
Numerical size estimates of inclusions in Kirchhoff–Love elastic plates
Antonio Bilotta, Antonino Morassi, Edi Rosset, Emilio Turco and Sergio VessellaInternational Journal of Solids and Structures 168 58 (2019)
https://doi.org/10.1016/j.ijsolstr.2019.03.006
Topological Derivatives of Shape Functionals. Part III: Second-Order Method and Applications
Antonio André Novotny, Jan Sokołowski and Antoni ŻochowskiJournal of Optimization Theory and Applications 181 (1) 1 (2019)
https://doi.org/10.1007/s10957-018-1420-4
Homogenization of stokes system using bloch waves
Grégoire Allaire, Tuhin Ghosh and Muthusamy VanninathanNetworks & Heterogeneous Media 12 (4) 525 (2017)
https://doi.org/10.3934/nhm.2017022
Obstacles reconstruction from partial boundary measurements based on the topological derivative concept
S. S. Rocha and A. A. NovotnyStructural and Multidisciplinary Optimization 55 (6) 2131 (2017)
https://doi.org/10.1007/s00158-016-1632-x
Understanding the magnetic polarizability tensor
Paul D. Ledger and W. R. Bill LionheartIEEE Transactions on Magnetics 52 (5) 1 (2016)
https://doi.org/10.1109/TMAG.2015.2507169
Construction of conformal mappings by generalized polarization tensors
Hyeonbae Kang, Hyundae Lee and Mikyoung LimMathematical Methods in the Applied Sciences 38 (9) 1847 (2015)
https://doi.org/10.1002/mma.3195
Handbook of Mathematical Methods in Imaging
Habib Ammari and Hyeonbae KangHandbook of Mathematical Methods in Imaging 535 (2015)
https://doi.org/10.1007/978-1-4939-0790-8_47
Exact determination of the volume of an inclusion in a body having constant shear modulus
Andrew E Thaler and Graeme W MiltonInverse Problems 30 (12) 125008 (2014)
https://doi.org/10.1088/0266-5611/30/12/125008
Bounds on the Size of an Inclusion Using the Translation Method for Two-Dimensional Complex Conductivity
Hyeonbae Kang, Kyoungsun Kim, Hyundae Lee, Xiaofei Li and Graeme W. MiltonSIAM Journal on Applied Mathematics 74 (4) 939 (2014)
https://doi.org/10.1137/130940426
Bounds on the Volume Fractions of Two Materials in a Three-Dimensional Body from Boundary Measurements by the Translation Method
Hyeonbae Kang and Graeme W. MiltonSIAM Journal on Applied Mathematics 73 (1) 475 (2013)
https://doi.org/10.1137/120879713
A source sensitivity approach for source localization in steady-state linear systems
Anthony Sabelli and Wilkins AquinoInverse Problems 29 (9) 095005 (2013)
https://doi.org/10.1088/0266-5611/29/9/095005
The extended adjoint method
Stanislas Larnier and Mohamed MasmoudiESAIM: Mathematical Modelling and Numerical Analysis 47 (1) 83 (2013)
https://doi.org/10.1051/m2an/2012020
Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method
Hyeonbae Kang, Eunjoo Kim and Graeme W. MiltonCalculus of Variations and Partial Differential Equations 45 (3-4) 367 (2012)
https://doi.org/10.1007/s00526-011-0462-3
Universal bounds on the electrical and elastic response of two-phase bodies and their application to bounding the volume fraction from boundary measurements
Graeme W. MiltonJournal of the Mechanics and Physics of Solids 60 (1) 139 (2012)
https://doi.org/10.1016/j.jmps.2011.09.007
Bounds on the volume fraction of 2-phase, 2-dimensional elastic bodies and on (stress, strain) pairs in composites
Graeme Walter Milton and Loc Hoang NguyenComptes Rendus. Mécanique 340 (4-5) 193 (2012)
https://doi.org/10.1016/j.crme.2012.02.002
A general perturbation formula for electromagnetic fields in presence of low volume scatterers
Roland GriesmaierESAIM: Mathematical Modelling and Numerical Analysis 45 (6) 1193 (2011)
https://doi.org/10.1051/m2an/2011015
Handbook of Mathematical Methods in Imaging
Habib Ammari and Hyeonbae KangHandbook of Mathematical Methods in Imaging 447 (2011)
https://doi.org/10.1007/978-0-387-92920-0_11
A regularized Newton method for locating thin tubular conductivity inhomogeneities
Roland Griesmaier and Nuutti HyvönenInverse Problems 27 (11) 115008 (2011)
https://doi.org/10.1088/0266-5611/27/11/115008
Reconstruction of Thin Tubular Inclusions in Three-Dimensional Domains Using Electrical Impedance Tomography
Roland GriesmaierSIAM Journal on Imaging Sciences 3 (3) 340 (2010)
https://doi.org/10.1137/090764074
Transient anomaly imaging by the acoustic radiation force
Habib Ammari, Pierre Garapon, Lili Guadarrama Bustos and Hyeonbae KangJournal of Differential Equations 249 (7) 1579 (2010)
https://doi.org/10.1016/j.jde.2010.07.012
Mathematical Modeling in Biomedical Imaging I
Habib Ammari and Hyeonbae KangLecture Notes in Mathematics, Mathematical Modeling in Biomedical Imaging I 1983 99 (2009)
https://doi.org/10.1007/978-3-642-03444-2_3
Electrical Impedance Tomography by Elastic Deformation
H. Ammari, E. Bonnetier, Y. Capdeboscq, M. Tanter and M. FinkSIAM Journal on Applied Mathematics 68 (6) 1557 (2008)
https://doi.org/10.1137/070686408
Asymptotics for the voltage potential in a periodic network with localized defects
Eric Bonnetier and Sivaji‐Ganesh SistaMathematical Methods in the Applied Sciences 31 (10) 1175 (2008)
https://doi.org/10.1002/mma.963
MUSIC‐Type Electromagnetic Imaging of a Collection of Small Three‐Dimensional Inclusions
Habib Ammari, Ekaterina Iakovleva, Dominique Lesselier and Gaële PerrussonSIAM Journal on Scientific Computing 29 (2) 674 (2007)
https://doi.org/10.1137/050640655
IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials
Yves CapdeboscqSolid Mechanics and Its Applications, IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials 137 197 (2006)
https://doi.org/10.1007/1-4020-4752-5_20
Polarization tensors and their applications
Habib Ammari, Hyeonbae Kang and Mikyoung LimJournal of Physics: Conference Series 12 13 (2005)
https://doi.org/10.1088/1742-6596/12/1/002
Polarization tensors and effective properties of anisotropic composite materials
Habib Ammari, Hyeonbae Kang and Kyoungsun KimJournal of Differential Equations 215 (2) 401 (2005)
https://doi.org/10.1016/j.jde.2004.09.010