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## Kang, Hyeonbae

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 Author ID: kang.hyeonbae Published as: Kang, Hyeonbae; Kang, H.; Kang, Hyeoenbae; Kang, Hyeonbaec; Kang, Hyonbae Homepage: http://math.inha.ac.kr/~hbkang/ External Links: MGP · ResearchGate · dblp · GND
 Documents Indexed: 166 Publications since 1989, including 6 Books 5 Contributions as Editor 1 Further Contribution
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#### Co-Authors

 8 single-authored 86 Ammari, Habib M. 35 Lee, Hyundae 28 Lim, Mikyoung 16 Seo, Jin Keun 15 Kim, Eunjoo 14 Garnier, Josselin 11 Milton, Graeme Walter 11 Yu, SangHyeon 10 Ando, Kazunori 10 Yun, Kihyun 9 Kim, Kyoungsun 7 Capdeboscq, Yves 6 Jugnon, Vincent 6 Miyanishi, Yoshihisa 6 Nakamura, Gen 6 Zribi, Habib 5 Sølna, Knut 4 Ciraolo, Giulio 4 Garapon, Pierre 4 Ji, Yong-Gwan 4 Koo, Hyungwoon 4 Wang, Han 3 Guadarrama Bustos, Lili 3 Jing, Wenjia 3 Lee, June-Yub 3 Li, Xiaofei 3 Louati, Kaouthar 3 Sakaguchi, Shigeru 2 Asch, Mark 2 Beretta, Elena 2 Bossy, Emmanuel 2 Boulier, Thomas 2 Bretin, Elie 2 Chung, Daewon 2 Daido, Yuki 2 Feng, Tingting 2 Francini, Elisa 2 Kim, Seick 2 Liu, Hongyu 2 Park, Won-Kwang 2 Sheen, Dongwoo 2 Tanuma, Kazumi 2 Touibi, Karim 2 Uhlmann, Gunther Alberto 2 Wahab, Abdul Fatah 1 Borcea, Liliana 1 Dassios, George 1 Deng, Youjun 1 Dong, Hongjie 1 Eom, Junyong 1 Fabes, Eugene B. 1 Fitzpatrick, Brian 1 Ha, Younghwa 1 Helsing, Johan 1 Iakovleva, Ekaterina 1 Jouve, François 1 Kalimeris, Kostis 1 Kawagoe, Daisuke 1 Kozhemyak, Anastasia 1 Kwon, Kiwoon 1 Lee, Jungseob 1 Lee, Jungwook 1 Lee, Ok Kyun 1 Lim, Jisun 1 Nakazawa, Takashi 1 Putinar, Mihai 1 Ruiz, Matias 1 Santosa, Fadil N. 1 Shim, Yongsun 1 Shin, Jaemin 1 Sim, Imbo 1 Soussi, Sofiane 1 Ushikoshi, Erika 1 Vogelius, Michael S. 1 Wang, Jenn-Nan 1 Wang, Yun-Che 1 Ye, Jong Chul 1 Zhang, Hai
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#### Serials

 14 Inverse Problems 13 SIAM Journal on Applied Mathematics 8 Journal of Differential Equations 6 Archive for Rational Mechanics and Analysis 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Mathematical Analysis 5 Contemporary Mathematics 4 Journal of Mathematical Analysis and Applications 4 Nagoya Mathematical Journal 4 European Journal of Applied Mathematics 4 Multiscale Modeling & Simulation 4 SIAM Journal on Imaging Sciences 3 Mathematics of Computation 3 Journal of the Korean Mathematical Society 3 Quarterly of Applied Mathematics 3 Transactions of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Elasticity 2 Communications in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Optimization 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Asymptotic Analysis 2 IMRN. International Mathematics Research Notices 2 Calculus of Variations and Partial Differential Equations 2 Lecture Notes in Mathematics 2 Mathematical Surveys and Monographs 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Pacific Journal of Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Studies in Applied Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Complex Variables. Theory and Application 1 Bulletin of the Korean Mathematical Society 1 Journal of Computational Mathematics 1 Revista Matemática Iberoamericana 1 Journal of Integral Equations and Applications 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Applied and Computational Harmonic Analysis 1 Séminaire Équations aux Dérivées Partielles 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications of the Korean Mathematical Society 1 Foundations of Computational Mathematics 1 Analysis in Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Applied Mathematical Sciences 1 Panoramas et Synthèses 1 Communications in Computational Physics 1 Princeton Series in Applied Mathematics
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#### Fields

 133 Partial differential equations (35-XX) 43 Optics, electromagnetic theory (78-XX) 38 Mechanics of deformable solids (74-XX) 22 Numerical analysis (65-XX) 15 Potential theory (31-XX) 11 Operator theory (47-XX) 11 Biology and other natural sciences (92-XX) 9 General and overarching topics; collections (00-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Integral equations (45-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

149 Publications have been cited 2,433 times in 944 Documents Cited by Year
Reconstruction of small inhomogeneities from boundary measurements. Zbl 1113.35148
Ammari, Habib; Kang, Hyeonbae
2004
Polarization and moment tensors. With applications to inverse problems and effective medium theory. Zbl 1220.35001
Ammari, Habib; Kang, Hyeonbae
2007
Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance. Zbl 1282.78004
Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.
2013
Mathematical and statistical methods for multistatic imaging. Zbl 1288.35001
Ammari, Habib; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Lim, Mikyoung; Sølna, Knut; Wang, Han
2013
Layer potential techniques in spectral analysis. Zbl 1167.47001
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae
2009
Gradient estimates for solutions to the conductivity problem. Zbl 1129.78308
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung
2005
Spectral analysis of the Neumann-Poincaré operator and characterization of the stress concentration in anti-plane elasticity. Zbl 1320.35165
Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Yun, Kihyun
2013
Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion. Zbl 1089.74576
Ammari, Habib; Kang, Hyeonbae; Nakamura, Gen; Tanuma, Kazumi
2002
Stability and resolution analysis for a topological derivative based imaging functional. Zbl 1238.35180
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae
2012
Analysis of plasmon resonance on smooth domains using spectral properties of the Neumann-Poincaré operator. Zbl 1327.81193
Ando, Kazunori; Kang, Hyeonbae
2016
Mathematical methods in elasticity imaging. Zbl 1332.35002
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Wahab, Abdul
2015
A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements. Zbl 1143.35384
Ammari, Habib; Garapon, Pierre; Kang, Hyeonbae; Lee, Hyundae
2008
Enhancement of near cloaking for the full Maxwell equations. Zbl 1291.35438
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung; Yu, Sanghyeon
2013
Imaging schemes for perfectly conducting cracks. Zbl 1259.78049
Ammari, Habib; Garnier, Josselin; Kang, Hyonbae; Park, Won-Kwang; Sølna, Knut
2011
Enhancement of near cloaking using generalized polarization tensors vanishing structures. I: The conductivity problem. Zbl 1303.35108
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung
2013
Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture. Zbl 1134.74013
Kang, Hyeonbae; Milton, Graeme W.
2008
The inverse conductivity problem with one measurement: stability and estimation of size. Zbl 0888.35131
Kang, Hyeonbae; Seo, Jin Keun; Sheen, Dongwoo
1997
Asymptotic imaging of perfectly conducting cracks. Zbl 1210.35279
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Park, Won-Kwang
2010
Optimal estimates for the electric field in two dimensions. Zbl 1136.35095
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lee, Jungwook; Lim, Mikyoung
2007
High-order terms in the asymptotic expansions of the steady-state voltage potentials in the presence of conductivity inhomogeneities of small diameter. Zbl 1036.35050
Ammari, Habib; Kang, Hyeonbae
2003
Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions. Zbl 1351.35205
Ando, Kazunori; Kang, Hyeonbae; Liu, Hongyu
2016
The layer potential technique for the inverse conductivity problem. Zbl 0857.35134
Kang, Hyeonbae; Seo, Jin Keun
1996
Multistatic imaging of extended targets. Zbl 1344.78023
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Sølna, Knut
2012
Enhancement of near-cloaking. II: The Helmholtz equation. Zbl 1260.35095
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung
2013
Asymptotics and computation of the solution to the conductivity equation in the presence of adjacent inclusions with extreme conductivities. Zbl 1411.74047
Kang, Hyeonbae; Lim, Mikyoung; Yun, Kihyun
2013
Decomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions. Zbl 1181.35273
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung; Zribi, Habib
2009
Anomalous localized resonance using a folded geometry in three dimensions. Zbl 1348.78006
Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.
2013
Boundary layer techniques for deriving the effective properties of composite materials. Zbl 1072.35020
Ammari, Habib; Kang, Hyeonbae; Touibi, Karim
2005
Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities. Zbl 1149.35337
Ammari, Habib; Kang, Hyeonbae
2004
Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking by aomalous localized resonance. II. Zbl 1330.35421
Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.
2014
Mathematical modeling in photoacoustic imaging of small absorbers. Zbl 1257.74091
Ammari, Habib; Bossy, Emmanuel; Jugnon, Vincent; Kang, Hyeonbae
2010
The generalized polarization tensors for resolved imaging. I: Shape reconstruction of a conductivity inclusion. Zbl 1236.49084
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib
2012
Characterization of the electric field concentration between two adjacent spherical perfect conductors. Zbl 1293.35314
Kang, Hyeonbae; Lim, Mikyoung; Yun, Kihyun
2014
Mathematical and computational methods in photonics and phononics. Zbl 1420.78001
Ammari, Habib; Fitzpatrick, Brian; Kang, Hyeonbae; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
2018
Inclusion pairs satisfying Eshelby’s uniformity property. Zbl 1159.74387
Kang, Hyeonbae; Kim, Eunjoo; Milton, Graeme W.
2008
Reconstruction of closely spaced small inclusions. Zbl 1081.35133
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Lim, Mikyoung
2005
Target identification using dictionary matching of generalized polarization tensors. Zbl 1294.94006
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wang, Han
2014
Estimates of the harmonic Bergman kernel on smooth domains. Zbl 0983.31004
Kang, Hyeonbae; Koo, Hyungwoon
2001
Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map. Zbl 1043.35146
Kang, Hyeonbae; Nakamura, Gen
2002
Properties of the generalized polarization tensors. Zbl 1060.35159
Ammari, Habib; Kang, Hyeonbae
2003
Optimal estimates and asymptotics for the stress concentration between closely located stiff inclusions. Zbl 1398.35037
Kang, Hyeonbae; Lee, Hyundae; Yun, KiHyun
2015
Estimates for the electric field in the presence of adjacent perfectly conducting sphere. Zbl 1135.35322
Ammari, Habib; Dassios, George; Kang, Hyeonbae; Lim, Mikyoung
2007
Generalized polarization tensors for shape description. Zbl 1284.65072
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon
2014
Spectral properties of the Neumann-Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients. Zbl 1337.35047
Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae; Shin, Jaemin; Yu, Sanghyeon
2016
Conductivity interface problems. I: Small perturbations of an interface. Zbl 1189.35321
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib
2010
Localization, stability, and resolution of topological derivative based imaging functionals in elasticity. Zbl 1281.35085
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wahab, Abdul
2013
Spectral properties of the Neumann-Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system. Zbl 06903421
Ando, Kazunori; Ji, Yong-Gwan; Kang, Hyeonbae; Kim, Kyoungsun; Yu, Sanghyeon
2018
A new optimal control approach for the reconstruction of extended inclusions. Zbl 1271.31005
Ammari, Habib; Garapon, Pierre; Jouve, François; Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon
2013
Reconstruction of small interface changes of an inclusion from modal measurements. II: The elastic case. Zbl 1197.35308
Ammari, Habib; Beretta, Elena; Francini, Elisa; Kang, Hyeonbae; Lim, Mikyoung
2010
Identification of simple poles via boundary measurements and an application of EIT. Zbl 1077.35119
Kang, Hyeonbae; Lee, Hyundae
2004
Effective viscosity properties of dilute suspensions of arbitrarily shaped particles. Zbl 1341.76033
Ammari, Habib; Garapon, Pierre; Kang, Hyeonbae; Lee, Hyundae
2012
Spectral resolution of the Neumann-Poincaré operator on intersecting disks and analysis of plasmon resonance. Zbl 1386.35285
Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon
2017
Identification of elastic inclusions and elastic moment tensors by boundary measurements. Zbl 1147.74323
Kang, Hyeonbae; Kim, Eunjoo; Lee, June-Yub
2003
The generalized polarization tensors for resolved imaging. II: Shape and electromagnetic parameters reconstruction of an electromagnetic inclusion from multistatic measurements. Zbl 1251.49053
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Lee, June-Yub
2012
Cloaking due to anomalous localized resonance in plasmonic structures of confocal ellipses. Zbl 1327.35433
Chung, Daewon; Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae
2014
Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance. Zbl 1435.35266
Helsing, Johan; Kang, Hyeonbae; Lim, Mikyoung
2017
Progress on the strong Eshelby’s conjecture and extremal structures for the elastic moment tensor. Zbl 1262.74018
Ammari, Habib; Capdeboscq, Yves; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.; Zribi, Habib
2010
Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements. Zbl 1197.35307
Ammari, Habib; Beretta, Elena; Francini, Elisa; Kang, Hyeonbae; Lim, Mikyoung
2010
A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements. Zbl 1149.78005
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Louati, Kaouthar; Vogelius, Michael S.
2008
Unimodular wavelets for $$L^ 2$$ and the Hardy space $$H^ 2$$. Zbl 0810.42016
Ha, Young-Hwa; Kang, Hyeonbae; Lee, Jungseob; Seo, Jin Keun
1994
Enhancement of near-cloaking. Part III: Numerical simulations, statistical stability, and related questions. Zbl 1303.35107
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung
2012
Mathematical models and reconstruction methods in magneto-acoustic imaging. Zbl 1187.92058
Ammari, Habib; Capdeboscq, Yves; Kang, Hyeonbae; Kozhemyak, Anastasia
2009
Boundary determination of conductivities and Riemannian metrics via local Dirichlet-to-Neumann operator. Zbl 1044.35106
Kang, Hyeonbae; Yun, Kihyun
2003
Layer potential techniques in spectral analysis. I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions. Zbl 1195.35234
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib
2010
Reconstruction of the optical absorption coefficient of a small absorber from the absorbed energy density. Zbl 1225.78009
Ammari, Habib; Bossy, Emmanuel; Jugnon, Vincent; Kang, Hyeonbae
2011
Effective parameters of elastic composites. Zbl 1210.74037
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung
2006
Reconstruction of elastic inclusions of small volume via dynamic measurements. Zbl 1102.35306
Ammari, Habib; Kang, Hyeonbae
2006
Inverse conductivity problem with one measurement: Error estimates and approximate identification for perturbed disks. Zbl 0930.35194
Fabes, Eugene; Kang, Hyeonbae; Seo, Jin Keun
1999
Inverse conductivity problem with one measurement: Uniqueness of balls in $$\mathbb R^3$$. Zbl 0931.35194
Kang, Hyeonbae; Seo, Jin Keun
1999
Asymptotic analysis of high-contrast phononic crystals and a criterion for the band-gap opening. Zbl 1170.74023
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae
2009
Expansion methods. Zbl 1259.00009
Ammari, Habib; Kang, Hyeonbae
2011
Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors. Zbl 1298.35247
Ammari, Habib; Deng, Youjun; Kang, Hyeonbae; Lee, Hyundae
2014
Asymptotic expansions for eigenvalues of the Lamé system in the presence of small inclusions. Zbl 1136.35058
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae
2007
Numerical identification of discontinuous conductivity coefficients. Zbl 0934.35204
Kang, Hyeonbae; Seo, Jin Keun; Sheen, Dongwoo
1997
Recent progress in the inverse conductivity problem with single measurement. Zbl 0963.35199
Kang, Hyeonbae; Seo, Jin Keun
2000
A probe method for the inverse boundary value problem of non-stationary heat equations. Zbl 1126.35092
Daido, Yuki; Kang, Hyeonbae; Nakamura, Gen
2007
A direct algorithm for ultrasound imaging of internal corrosion. Zbl 1238.65107
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Lim, Mikyoung; Louati, Kaouthar
2011
Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions. Zbl 1284.35422
Ammari, Habib; Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae
2013
Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity. Zbl 1415.74028
Kang, Hyeonbae; Yu, Sanghyeon
2019
Transient anomaly imaging by the acoustic radiation force. Zbl 1197.35309
Ammari, Habib; Garapon, Pierre; Guadarrama Bustos, Lili; Kang, Hyeonbae
2010
Inverse problems for the Pauli Hamiltonian in two dimensions. Zbl 1081.35141
Kang, Hyeonbae; Uhlmann, Gunther
2004
The mean escape time for a narrow escape problem with multiple switching gates. Zbl 1231.82048
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Sølna, Knut
2011
Direct algorithms for thermal imaging of small inclusions. Zbl 1236.35201
Ammari, Habib; Iakovleva, Ekaterina; Kang, Hyeonbae; Kim, Kyoungsun
2005
Generalized polarization tensors, inverse conductivity problems, and dilute composite materials: a review. Zbl 1111.35101
Ammari, Habib; Kang, Hyeonbae
2006
Layer potential techniques in spectral analysis. II: Sensitivity analysis of spectral properties of high contrast band-gap materials. Zbl 1115.81072
Ammari, Habib; Kang, Hyeoenbae; Soussi, Sofiane; Zribi, Habib
2006
Holomorphic automorphisms of certain class of domains of infinite type. Zbl 0817.32011
Kang, Hyeonbae
1994
Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method. Zbl 1252.35281
Kang, Hyeonbae; Kim, Eunjoo; Milton, Graeme W.
2012
Polarization tensors and effective properties of anisotropic composite materials. Zbl 1073.35019
Ammari, Habib; Kang, Hyeonbae; Kim, Kyoungsun
2005
Boundary perturbations due to the presence of small linear cracks in an elastic body. Zbl 1277.35037
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Jisun
2013
Bounds on the volume fractions of two materials in a three-dimensional body from boundary measurements by the translation method. Zbl 1277.78026
Kang, Hyeonbae; Milton, Graeme W.
2013
Direct reconstruction methods in ultrasound imaging of small anomalies. Zbl 1345.92085
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae
2012
Elastic Neumann-Poincaré operators on three dimensional smooth domains: polynomial compactness and spectral structure. Zbl 1444.35049
Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa
2019
Scattering of electromagnetic waves by thin dielectric planar structures. Zbl 1134.35102
Ammari, Habib; Kang, Hyeonbae; Santosa, Fadil
2006
Transient wave imaging with limited-view data. Zbl 1230.35143
Ammari, Habib; Asch, Mark; Guadarrama Bustos, Lili; Jugnon, Vincent; Kang, Hyeonbae
2011
Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions. Zbl 1407.35147
Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa
2018
Recovery of an inhomogeneity in an elliptic equation. Zbl 0974.35134
Kang, Hyeonbae; Kwon, Kiwoon; Yun, Kihyun
2001
Optimal estimates of the field enhancement in presence of a bow-tie structure of perfectly conducting inclusions in two dimensions. Zbl 1421.35079
Kang, Hyeonbae; Yun, KiHyun
2019
A new method for reconstructing electromagnetic inhomogeneities of small volume. Zbl 1020.35113
Ammari, Habib; Kang, Hyeonbae
2003
Anisotropic polarization tensors and detection of an anisotropic inclusion. Zbl 1126.78308
Kang, Hyeonbae; Kim, EunJoo; Kim, Kyoungsun
2003
On conjectures of Polya-Szegö and Eshelby. Zbl 1111.35119
Kang, Hyeonbae; Milton, Graeme W.
2006
Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity. Zbl 1415.74028
Kang, Hyeonbae; Yu, Sanghyeon
2019
Elastic Neumann-Poincaré operators on three dimensional smooth domains: polynomial compactness and spectral structure. Zbl 1444.35049
Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa
2019
Optimal estimates of the field enhancement in presence of a bow-tie structure of perfectly conducting inclusions in two dimensions. Zbl 1421.35079
Kang, Hyeonbae; Yun, KiHyun
2019
Spectral structure of the Neumann-Poincaré operator on tori. Zbl 07129764
Ando, Kazunori; Ji, Yong-Gwan; Kang, Hyeonbae; Kawagoe, Daisuke; Miyanishi, Yoshihisa
2019
A concavity condition for existence of a negative value in Neumann-Poincaré spectrum in three dimensions. Zbl 07081339
Ji, Yong-Gwan; Kang, Hyeonbae
2019
Precise estimates of the field excited by an emitter in presence of closely located inclusions of a bow-tie shape. Zbl 1421.35360
Kang, Hyeonbae; Yun, KiHyun
2019
Construction of weakly neutral inclusions of general shape by imperfect interfaces. Zbl 1412.35089
Kang, Hyeonbae; Li, Xiaofei
2019
Quantitative estimates of the field excited by an emitter in a narrow region between two circular inclusions. Zbl 1423.35097
Kang, Hyeonbae; Yun, Kihyun
2019
The first Hadamard variation of Neumann-Poincaré eigenvalues on the sphere. Zbl 06998142
Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa; Ushikoshi, Erika
2019
Mathematical and computational methods in photonics and phononics. Zbl 1420.78001
Ammari, Habib; Fitzpatrick, Brian; Kang, Hyeonbae; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
2018
Spectral properties of the Neumann-Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system. Zbl 06903421
Ando, Kazunori; Ji, Yong-Gwan; Kang, Hyeonbae; Kim, Kyoungsun; Yu, Sanghyeon
2018
Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions. Zbl 1407.35147
Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa
2018
Spectral permanence in a space with two norms. Zbl 1407.31002
Kang, Hyeonbae; Putinar, Mihai
2018
Spectral resolution of the Neumann-Poincaré operator on intersecting disks and analysis of plasmon resonance. Zbl 1386.35285
Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon
2017
Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance. Zbl 1435.35266
Helsing, Johan; Kang, Hyeonbae; Lim, Mikyoung
2017
Spectrum of Neumann-Poincaré operator on annuli and cloaking by anomalous localized resonance for linear elasticity. Zbl 1377.35086
Ando, Kazunori; Kang, Hyeonbae; Kim, Kyoungsun; Yu, Sanghyeon
2017
Analysis of plasmon resonance on smooth domains using spectral properties of the Neumann-Poincaré operator. Zbl 1327.81193
Ando, Kazunori; Kang, Hyeonbae
2016
Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions. Zbl 1351.35205
Ando, Kazunori; Kang, Hyeonbae; Liu, Hongyu
2016
Spectral properties of the Neumann-Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients. Zbl 1337.35047
Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae; Shin, Jaemin; Yu, Sanghyeon
2016
An over-determined boundary value problem arising from neutrally coated inclusions in three dimensions. Zbl 1364.35208
Kang, Hyeonbae; Lee, Hyundae; Sakaguchi, Shigeru
2016
Estimation of stress in the presence of closely located elastic inclusions: a numerical study. Zbl 1382.74005
Kang, Hyeonbae; Kim, Eunjoo
2016
Spectrum of the Neumann-Poincaré operator for ellipsoids and tunability. Zbl 1336.35259
Feng, Tingting; Kang, Hyeonbae
2016
Reconstruction of the shear modulus of viscoelastic systems in a thin cylinder: an inversion scheme and experiments. Zbl 1469.74053
Eom, Junyong; Kang, Hyeonbae; Nakamura, Gen; Wang, Yun-Che
2016
On coated inclusions neutral to bulk strain fields in two dimensions. Zbl 1362.35196
Kang, Hyeonbae
2016
Mathematical methods in elasticity imaging. Zbl 1332.35002
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Wahab, Abdul
2015
Optimal estimates and asymptotics for the stress concentration between closely located stiff inclusions. Zbl 1398.35037
Kang, Hyeonbae; Lee, Hyundae; Yun, KiHyun
2015
Layer potential approaches to interface problems. Zbl 1348.35321
Kang, Hyeonbae
2015
Construction of conformal mappings by generalized polarization tensors. Zbl 1317.30008
Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung
2015
Invariance properties of generalized polarization tensors and design of shape descriptors in three dimensions. Zbl 1304.35759
Ammari, Habib; Chung, Daewon; Kang, Hyeonbae; Wang, Han
2015
A non-iterative method for the electrical impedance tomography based on joint sparse recovery. Zbl 1319.35301
Lee, Ok Kyun; Kang, Hyeonbae; Ye, Jong Chul; Lim, Mikyoung
2015
Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking by aomalous localized resonance. II. Zbl 1330.35421
Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.
2014
Characterization of the electric field concentration between two adjacent spherical perfect conductors. Zbl 1293.35314
Kang, Hyeonbae; Lim, Mikyoung; Yun, Kihyun
2014
Target identification using dictionary matching of generalized polarization tensors. Zbl 1294.94006
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wang, Han
2014
Generalized polarization tensors for shape description. Zbl 1284.65072
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon
2014
Cloaking due to anomalous localized resonance in plasmonic structures of confocal ellipses. Zbl 1327.35433
Chung, Daewon; Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae
2014
Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors. Zbl 1298.35247
Ammari, Habib; Deng, Youjun; Kang, Hyeonbae; Lee, Hyundae
2014
Coated inclusions of finite conductivity neutral to multiple fields in two-dimensional conductivity or anti-plane elasticity. Zbl 1302.74064
Kang, Hyeonbae; Lee, Hyundae
2014
Bounds on the size of an inclusion using the translation method for two-dimensional complex conductivity. Zbl 1311.65135
Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae; Li, Xiaofei; Milton, Graeme W.
2014
Bounds on the volume fraction of the two-phase shallow shell using one measurement. Zbl 1455.74061
Kang, Hyeonbae; Milton, Graeme W.; Wang, Jenn-Nan
2014
Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance. Zbl 1282.78004
Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.
2013
Mathematical and statistical methods for multistatic imaging. Zbl 1288.35001
Ammari, Habib; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Lim, Mikyoung; Sølna, Knut; Wang, Han
2013
Spectral analysis of the Neumann-Poincaré operator and characterization of the stress concentration in anti-plane elasticity. Zbl 1320.35165
Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Yun, Kihyun
2013
Enhancement of near cloaking for the full Maxwell equations. Zbl 1291.35438
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung; Yu, Sanghyeon
2013
Enhancement of near cloaking using generalized polarization tensors vanishing structures. I: The conductivity problem. Zbl 1303.35108
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung
2013
Enhancement of near-cloaking. II: The Helmholtz equation. Zbl 1260.35095
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung
2013
Asymptotics and computation of the solution to the conductivity equation in the presence of adjacent inclusions with extreme conductivities. Zbl 1411.74047
Kang, Hyeonbae; Lim, Mikyoung; Yun, Kihyun
2013
Anomalous localized resonance using a folded geometry in three dimensions. Zbl 1348.78006
Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.
2013
Localization, stability, and resolution of topological derivative based imaging functionals in elasticity. Zbl 1281.35085
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wahab, Abdul
2013
A new optimal control approach for the reconstruction of extended inclusions. Zbl 1271.31005
Ammari, Habib; Garapon, Pierre; Jouve, François; Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon
2013
Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions. Zbl 1284.35422
Ammari, Habib; Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae
2013
Boundary perturbations due to the presence of small linear cracks in an elastic body. Zbl 1277.35037
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Jisun
2013
Bounds on the volume fractions of two materials in a three-dimensional body from boundary measurements by the translation method. Zbl 1277.78026
Kang, Hyeonbae; Milton, Graeme W.
2013
Tracking of a mobile target using generalized polarization tensors. Zbl 1282.35407
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Kang, Hyeonbae; Wang, Han
2013
Stability and resolution analysis for a topological derivative based imaging functional. Zbl 1238.35180
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae
2012
Multistatic imaging of extended targets. Zbl 1344.78023
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Sølna, Knut
2012
The generalized polarization tensors for resolved imaging. I: Shape reconstruction of a conductivity inclusion. Zbl 1236.49084
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib
2012
Effective viscosity properties of dilute suspensions of arbitrarily shaped particles. Zbl 1341.76033
Ammari, Habib; Garapon, Pierre; Kang, Hyeonbae; Lee, Hyundae
2012
The generalized polarization tensors for resolved imaging. II: Shape and electromagnetic parameters reconstruction of an electromagnetic inclusion from multistatic measurements. Zbl 1251.49053
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Lee, June-Yub
2012
Enhancement of near-cloaking. Part III: Numerical simulations, statistical stability, and related questions. Zbl 1303.35107
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung
2012
Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method. Zbl 1252.35281
Kang, Hyeonbae; Kim, Eunjoo; Milton, Graeme W.
2012
Direct reconstruction methods in ultrasound imaging of small anomalies. Zbl 1345.92085
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae
2012
Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media. Zbl 1241.31008
Ammari, Habib; Kang, Hyeonbae; Kim, Seick
2012
Layer potential techniques for the narrow escape problem. Zbl 1252.35116
Ammari, Habib; Kalimeris, Kostis; Kang, Hyeonbae; Lee, Hyundae
2012
Imaging schemes for perfectly conducting cracks. Zbl 1259.78049
Ammari, Habib; Garnier, Josselin; Kang, Hyonbae; Park, Won-Kwang; Sølna, Knut
2011
Reconstruction of the optical absorption coefficient of a small absorber from the absorbed energy density. Zbl 1225.78009
Ammari, Habib; Bossy, Emmanuel; Jugnon, Vincent; Kang, Hyeonbae
2011
Expansion methods. Zbl 1259.00009
Ammari, Habib; Kang, Hyeonbae
2011
A direct algorithm for ultrasound imaging of internal corrosion. Zbl 1238.65107
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Lim, Mikyoung; Louati, Kaouthar
2011
The mean escape time for a narrow escape problem with multiple switching gates. Zbl 1231.82048
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Sølna, Knut
2011
Transient wave imaging with limited-view data. Zbl 1230.35143
Ammari, Habib; Asch, Mark; Guadarrama Bustos, Lili; Jugnon, Vincent; Kang, Hyeonbae
2011
Transient elasticity imaging and time reversal. Zbl 1448.74016
Ammari, Habib; Guadarrama Bustos, Lili; Kang, Hyeonbae; Lee, Hyundae
2011
Mathematical and statistical methods for imaging. NIMS thematic workshop, Inha University, Incheon, Korea, August 10–13, 2010. Zbl 1219.35002
2011
Asymptotic imaging of perfectly conducting cracks. Zbl 1210.35279
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Park, Won-Kwang
2010
Mathematical modeling in photoacoustic imaging of small absorbers. Zbl 1257.74091
Ammari, Habib; Bossy, Emmanuel; Jugnon, Vincent; Kang, Hyeonbae
2010
Conductivity interface problems. I: Small perturbations of an interface. Zbl 1189.35321
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib
2010
Reconstruction of small interface changes of an inclusion from modal measurements. II: The elastic case. Zbl 1197.35308
Ammari, Habib; Beretta, Elena; Francini, Elisa; Kang, Hyeonbae; Lim, Mikyoung
2010
Progress on the strong Eshelby’s conjecture and extremal structures for the elastic moment tensor. Zbl 1262.74018
Ammari, Habib; Capdeboscq, Yves; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.; Zribi, Habib
2010
Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements. Zbl 1197.35307
Ammari, Habib; Beretta, Elena; Francini, Elisa; Kang, Hyeonbae; Lim, Mikyoung
2010
Layer potential techniques in spectral analysis. I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions. Zbl 1195.35234
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib
2010
Transient anomaly imaging by the acoustic radiation force. Zbl 1197.35309
Ammari, Habib; Garapon, Pierre; Guadarrama Bustos, Lili; Kang, Hyeonbae
2010
Layer potential techniques in spectral analysis. Zbl 1167.47001
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae
2009
Decomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions. Zbl 1181.35273
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung; Zribi, Habib
2009
Mathematical models and reconstruction methods in magneto-acoustic imaging. Zbl 1187.92058
Ammari, Habib; Capdeboscq, Yves; Kang, Hyeonbae; Kozhemyak, Anastasia
2009
Asymptotic analysis of high-contrast phononic crystals and a criterion for the band-gap opening. Zbl 1170.74023
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae
2009
Vibration testing for anomaly detection. Zbl 1160.35547
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Lee, Hyundae
2009
Vibration analysis for detecting internal corrosion. Zbl 1168.74025
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Lee, Hyundae; Louati, Kaouthar
2009
A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements. Zbl 1143.35384
Ammari, Habib; Garapon, Pierre; Kang, Hyeonbae; Lee, Hyundae
2008
Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture. Zbl 1134.74013
Kang, Hyeonbae; Milton, Graeme W.
2008
Inclusion pairs satisfying Eshelby’s uniformity property. Zbl 1159.74387
Kang, Hyeonbae; Kim, Eunjoo; Milton, Graeme W.
2008
A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements. Zbl 1149.78005
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Louati, Kaouthar; Vogelius, Michael S.
2008
Improved Hashin-Shtrikman bounds for elastic moment tensors and an application. Zbl 1152.74036
Capdeboscq, Yves; Kang, Hyeonbae
2008
Detection of internal corrosion. Zbl 1169.35061
Ammari, H.; Kang, H.; Kim, E.
2008
Polarization and moment tensors. With applications to inverse problems and effective medium theory. Zbl 1220.35001
Ammari, Habib; Kang, Hyeonbae
2007
Optimal estimates for the electric field in two dimensions. Zbl 1136.35095
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lee, Jungwook; Lim, Mikyoung
2007
Estimates for the electric field in the presence of adjacent perfectly conducting sphere. Zbl 1135.35322
Ammari, Habib; Dassios, George; Kang, Hyeonbae; Lim, Mikyoung
2007
Asymptotic expansions for eigenvalues of the Lamé system in the presence of small inclusions. Zbl 1136.35058
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae
2007
A probe method for the inverse boundary value problem of non-stationary heat equations. Zbl 1126.35092
Daido, Yuki; Kang, Hyeonbae; Nakamura, Gen
2007
Numerical reconstruction of a cluster of small elastic inclusions. Zbl 1137.35079
Kang, Hyeonbae; Kim, Eunjoo; Lee, June-Yub
2007
Effective parameters of elastic composites. Zbl 1210.74037
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung
2006
Reconstruction of elastic inclusions of small volume via dynamic measurements. Zbl 1102.35306
Ammari, Habib; Kang, Hyeonbae
2006
Generalized polarization tensors, inverse conductivity problems, and dilute composite materials: a review. Zbl 1111.35101
Ammari, Habib; Kang, Hyeonbae
2006
...and 49 more Documents
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#### Cited by 939 Authors

 111 Ammari, Habib M. 64 Kang, Hyeonbae 41 Liu, Hongyu 29 Lee, Hyundae 28 Lim, Mikyoung 28 Park, Won-Kwang 25 Yu, SangHyeon 22 Novotny, Antonio André 21 Nguyen, Hoai-Minh 17 Deng, Youjun 17 Li, Jingzhi 17 Uhlmann, Gunther Alberto 16 Garnier, Josselin 15 Schiavone, Peter 15 Sini, Mourad 15 Zhang, Hai 14 Harrach, Bastian 14 Seo, Jin Keun 14 Triki, Faouzi 13 Bonnet, Marc 13 Hu, Guanghui 13 Milton, Graeme Walter 13 Musolino, Paolo 13 Sokołowski, Jan 13 Wang, Xu 12 Zou, Jun 11 Beretta, Elena 11 Fitzpatrick, Brian 11 Khelifi, Abdessatar 11 Li, Hongjie 11 Nakamura, Gen 11 Yun, Kihyun 11 Zribi, Habib 10 Li, Peijun 9 Chow, Yat Tin 9 Klibanov, Michael V. 9 Li, Haigang 9 Millien, Pierre 9 Nguyen, Loc Hoang 9 Wahab, Abdul Fatah 8 Ando, Kazunori 8 Bao, Gang 8 Capdeboscq, Yves 8 Kim, Kyoungsun 8 Li, Jichun 7 Amstutz, Samuel 7 Bonnetier, Eric 7 Bretin, Elie 7 Challa, Durga Prasad 7 Hanke-Bourgeois, Martin 7 Lanza de Cristoforis, Massimo 7 Lassas, Matti J. 7 Lin, Yi-Hsuan 7 Rapún, María-Luisa 7 Ruiz, Matias 7 Vogelius, Michael S. 7 Wang, Haibing 6 Alberti, Giovanni S. 6 Cakoni, Fioralba 6 Choe, Boo Rim 6 Dai, Ming 6 Daveau, Christian 6 Griesmaier, Roland 6 Guzina, Bojan B. 6 Hiltunen, Erik Orvehed 6 Huang, Yunqing 6 Lawley, Sean D. 6 Lesnic, Daniel 6 Poignard, Clair 6 Putinar, Mihai 6 Salo, Mikko 6 Wang, Jenn-Nan 6 Yin, Tao 6 Zochowski, Antoni 6 Zou, Wennan 5 Ciraolo, Giulio 5 Dalla Riva, Matteo 5 Davies, Bryn 5 Francini, Elisa 5 Garde, Henrik 5 Giusti, Sebastián M. 5 Hassine, Maatoug 5 Hyvönen, Nuutti 5 Ji, Yong-Gwan 5 Kim, Eunjoo 5 Kovtunenko, Viktor Anatolievich 5 Li, YanYan 5 Meftahi, Houcine 5 Miyanishi, Yoshihisa 5 Nguyen, Dinh Liem 5 Perfekt, Karl-Mikael 5 Ren, Kui 5 Tsou, Chun-Hsiang 5 Van Goethem, Nicolas 5 Volkov, Darko 5 Wang, Yuliang 5 Yamamoto, Masahiro 4 Bao, Jiguang 4 Behera, Biswaranjan 4 Bellis, Cédric ...and 839 more Authors
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#### Cited in 185 Serials

 43 Inverse Problems 37 Mathematical Methods in the Applied Sciences 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 37 SIAM Journal on Applied Mathematics 34 Journal of Mathematical Analysis and Applications 33 Journal of Differential Equations 32 Journal of Computational Physics 28 Archive for Rational Mechanics and Analysis 24 SIAM Journal on Mathematical Analysis 23 SIAM Journal on Imaging Sciences 21 Inverse Problems and Imaging 19 Multiscale Modeling & Simulation 18 Applicable Analysis 18 Quarterly of Applied Mathematics 16 Inverse Problems in Science and Engineering 15 Journal of Elasticity 13 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 12 Computers & Mathematics with Applications 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 SIAM Journal on Scientific Computing 12 Journal of Inverse and Ill-Posed Problems 11 Communications in Partial Differential Equations 10 Proceedings of the American Mathematical Society 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 European Journal of Applied Mathematics 8 Wave Motion 8 Mathematics of Computation 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Engineering Analysis with Boundary Elements 8 Mathematics and Mechanics of Solids 7 Communications in Mathematical Physics 7 International Journal of Engineering Science 7 Journal of Mathematical Physics 7 Journal of the Mechanics and Physics of Solids 7 Numerische Mathematik 7 Applied Numerical Mathematics 7 Applied Mathematics Letters 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Advances in Mathematical Physics 6 Acta Mechanica 6 Journal of Computational and Applied Mathematics 6 Mathematische Annalen 6 SIAM Journal on Numerical Analysis 6 Transactions of the American Mathematical Society 6 Journal of Integral Equations and Applications 6 Calculus of Variations and Partial Differential Equations 6 Structural and Multidisciplinary Optimization 5 Computer Methods in Applied Mechanics and Engineering 4 International Journal of Solids and Structures 4 Journal d’Analyse Mathématique 4 Applied Mathematics and Computation 4 Journal of Functional Analysis 4 Journal of Optimization Theory and Applications 4 The Journal of Geometric Analysis 4 Applied Mathematical Modelling 4 Applied and Computational Harmonic Analysis 4 Mathematical Problems in Engineering 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Communications in Computational Physics 3 Applied Mathematics and Optimization 3 Integral Equations and Operator Theory 3 Nagoya Mathematical Journal 3 SIAM Journal on Control and Optimization 3 Tohoku Mathematical Journal. Second Series 3 Advances in Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematicae Applicatae Sinica. English Series 3 Revista Matemática Iberoamericana 3 Journal of Scientific Computing 3 Journal of Mathematical Sciences (New York) 3 The Journal of Fourier Analysis and Applications 3 European Journal of Mechanics. A. Solids 3 Annales Henri Poincaré 3 Waves in Random and Complex Media 3 Complex Variables and Elliptic Equations 3 Computational & Mathematical Methods in Medicine 3 Discrete and Continuous Dynamical Systems. Series S 2 Communications on Pure and Applied Mathematics 2 Journal of Engineering Mathematics 2 Nonlinearity 2 Acta Mathematica Vietnamica 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal for Numerical Methods in Engineering 2 Mathematische Nachrichten 2 Numerical Functional Analysis and Optimization 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Computational Mathematics and Mathematical Physics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Journal of Mathematical Imaging and Vision 2 St. Petersburg Mathematical Journal 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Revista Matemática Complutense 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications on Pure and Applied Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Science China. Mathematics 2 East Asian Journal on Applied Mathematics ...and 85 more Serials
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#### Cited in 43 Fields

 645 Partial differential equations (35-XX) 262 Optics, electromagnetic theory (78-XX) 226 Mechanics of deformable solids (74-XX) 192 Numerical analysis (65-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 74 Biology and other natural sciences (92-XX) 65 Fluid mechanics (76-XX) 58 Operator theory (47-XX) 54 Potential theory (31-XX) 46 Integral equations (45-XX) 40 Information and communication theory, circuits (94-XX) 31 Functions of a complex variable (30-XX) 23 Several complex variables and analytic spaces (32-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 17 Global analysis, analysis on manifolds (58-XX) 14 Functional analysis (46-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Statistical mechanics, structure of matter (82-XX) 13 Systems theory; control (93-XX) 11 Quantum theory (81-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Probability theory and stochastic processes (60-XX) 8 Differential geometry (53-XX) 8 Statistics (62-XX) 8 Computer science (68-XX) 8 Geophysics (86-XX) 7 Special functions (33-XX) 6 Approximations and expansions (41-XX) 5 Operations research, mathematical programming (90-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 2 Number theory (11-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX)