(with A. Ammari, J. Garnier, W. Jing, H. Kang, K. Solna, and H. Wang) Lecture Notes in Mathematics, Volume 2098, Springer, 2013.
Provable wavelet-based neural approximation [arXiv] (with Youngmi Hur and Hyojae Lim), 2025
Conformal mapping Coordinates Physics-Informed Neural Networks (CoCo-PINNs): learning neural networks for designing neutral inclusions [arXiv], Daehee Cho, Hyeonmin Yun, Jaeyong Lee and Mikyoung Lim, 2025
Geometric series solution for the plane elastostatic problem in the presence of a cavity [arXiv] (with Daehee Cho and Doosung Choi), 2024
Analytic asymptotic formulas for effective parameters of planar elastic composites [arXiv] (with Daehee Cho, and Doosung Choi), 2024
Monostatic imaging of an extended target with MCMC sampling [arXiv] (with Jiho Hong, Sangwoo Kang), 2024
Single-qubit quantum gate at an arbitrary speed [arXiv], Seongjin Ahn, Kichan Park, Daehee Cho, Mikyoung Lim, Taeyoung Choi, Andrey S Moskalenko, 2024
Bayesian optimization approach for tracking the location and orientation of a moving target using far-field data [arXiv] (with Woojoo Lee and Sangwoo Kang), 2024
The Eigenvalue Problem for the Laplacian via Conformal Mapping and the Gohberg--Sigal Theory [arXiv] (with Marius Beceanu, Jiho Hong, Hyun-Kyoung Kwon), 2024
On the first Steklov–Dirichlet eigenvalue on eccentric annuli in general dimensions [arXiv] (with Jiho Hong, and Dong-Hwi Seo), 2023
2025
[60] Approximation of the first Steklov-Dirichlet eigenvalue on eccentric spherical shells in general dimensions [download] (with Jiho Hong and Woojoo Lee), Journal of Differential Equations, 437, 113295 (2025)
[59] Spectral analysis of the Neumann-Poincaré operator for thin doubly connected domains [arXiv] (with Doosung Choi, and Stephen P. Shipman), 2023, to appear in SIAM Journal on Mathematical Analysis (2025+)
2024
[58] Analytic shape recovery of an elastic inclusion from elastic moment tensors [download] (with Daehee Cho), SIAM J. Appl. Math., 84(6), 2417 - 2439 (2024)
[57] Construction of inclusions with vanishing generalized polarization tensors by imperfect interfaces [download] (with Doosung Choi ), Studies in Applied Mathematics, 152(2), 673-695 (2024)
2023
[56] Spectral analysis of the Neumann–Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance [ download ] (with Younghoon Jung), Nonlinear Analysis, 74,103951 (2023)
[55] Inverse problem for a planar conductivity inclusion [download] (with Doosung Choi, Johan Helsing, and Sangwoo Kang), SIAM Journal on Imaging Sciences 16 (2), 969-995 (2023)
[54] Geometric multipole expansion and its application to semi-neutral inclusions of general shape [download] (with Doosung Choi, and Junbeom Kim), Zeitschrift für angewandte Mathematik und Physik (ZAMP), 74, Article number: 39 (2023)
2022
[53] Fast identification of short, linear perfectly conducting cracks in a bistatic measurement configuration [download] (with Sangwoo Kang, and Won-Kwang Park), J. Comput. Phys., 468, 111479 (2022)
[52] Monostatic sampling methods in limited-aperture configuration [download] (with Sangwoo Kang), Appl. Math. Comput., 427, 127170 (2022)
[51] On the first Steklov-Dirichlet eigenvalue for eccentric annuli [download] (with Jiho Hong, and Dong-Hwi Seo), Ann. Mat. Pura Appl., 201, 769–799 (2022)
[50] Geometric series expansion of the Neumann-Poincare operator: application to composite materials [download] (with Elena Cherkaev, Minwoo Kim), Eur. J. Appl. Math., 33(3), 560-585 (2022)
2021
[49] Explicit analytic solution for the plane elastostatic problem with a rigid inclusion of arbitrary shape subject to arbitrary far-field loadings [download] (with Ornella Mattei) Journal of Elasticity, 144, 81–105 (2021)
[48] Series expansions of the layer potential operators using the Faber polynomials and their applications to the transmission problem [download] (with Younghoon Jung), SIAM J. Math. Anal 53(2), 1630–1669 (2021)
[47] An extension of the Eshelby conjecture to domains of general shape in anti-plane elasticity [download] (with Doosung Choi, Kyoungsun Kim), J. Math. Anal. Appl. 495(2),124756 (2021)
[46] Numerical solution to the interface problem in a general domain using Moser's deformation method [download] (with E. Hong, E. Lee, and Y. Jung), J. Appl. Math. Comput. 65, 379–401 (2021)
[45] Analytical shape recovery of a conductivity inclusion based on Faber polynomials [download] (with Doosung Choi, Junbeom Kim), Mathematische Annalen, 381, 1837–1867 (2021)
2020
[44] Inclusions of General Shapes Having Constant Field Inside the Core and NonElliptical Neutral Coated Inclusions With Anisotropic Conductivity [download] (with Graeme W Milton), SIAM J. Appl. Math., 80(3), 1420–1440
[43] A decay estimate for the eigenvalues of the Neumann-Poincaré operator in two dimensions using the Grunsky coefficients [download] (with YoungHoon Jung), Proc. Amer. Math. Soc., 148(2):591–600 (2020)
2019
[42] Electric field concentration in the presence of an inclusion with eccentric core-shell geometry [download] (with Junbeom Kim), Mathematische Annalen, 373 (1-2), 517-551 (2019)
2018
[41] Corner effects on the perturbation of an electric potential [ download] (with Doosung Choi, Johan Helsing), SIAM J. Appl. Math., 78(3), 1577-1601 (2018)
2017
[40] A Joint Sparse Recovery Framework for Accurate Reconstruction of Inclusions in Elastic Media [ download ] (with J. Yoo, Y. Jung, J. C. Ye and A. Wahab), SIAM J. Imaging Sci. 10 (3), 1104-1138 (2017)
[39] Classification of spectra of the Neumann-Poincare operator on planar domains with corners by resonance [ download ](with J Helsing, and H Kang), Annales de l'Institut Henri Poincare (C) Non Linear Analysis Volume 34, Issue 4, 991-1011 (2017)
[38] Shielding at a distance due to anomalous resonance [download] (with S. Yu), New J. Phys. 19 033018 (2017)
[37] Spectral resolution of the Neumann-Poincare operator on intersecting disks and analysis of plasmon resonance [download](with H. Kang, and S. Yu), Arch. Ration. Mech. Anal (ARMA), Volume 226, Issue 1, 83-115 (2017)
2016
[36] " A review on the enhancement of near-cloaking using the multilayer structure" Contemporary Mathematics 660 (2016)
2015
[35] A non-iterative method for the electrical impedance tomography based on joint sparse recovery [download] (with O. K. Lee, H. Kang, J. C. Ye) , Inverse Problems 31 (7), 075002 (2015)
[34] High-speed dual-beam, crossed line-scanning fluorescence microscope with a point confocal resolution [ download ] (HW Jeong, HJ Kim, J Eun, S Heo, M Lim, YH Cho, BM Kim), Applied Optics 54 (12), 3811-3816 (2015)
[33] Asymptotics of the solution to the conductivity equation in the presence of adjacent circular inclusions with finite conductivities [ download ] (with S. Yu) , J. Math. Anal. Appl. 421, 131-156 (2015)
[32] Construction of conformal mappings by generalized polarization tensors [ download ] (with H. Kang, H. Lee), Mathematical Methods in the Applied Sciences 38 (9), 1847-1854 (2015)
2014
[31] Generalized polarization tensors for shape description [ download ] (with H. Ammari, J. Garnier, H. Kang, and S. Yu) , Numerische Mathematik 126, 199-224 (2014)
[30] Characterization of the electric field concentration between two adjacent spherical perfect conductors [ download ] (with H. Kang, and K. Yun) SIAM J. Appl. Math. 74, 125-146 (2014)
2013
[29] Enhancement of Near Cloaking for the Full Maxwell Equations [ download ] (with H. Ammari, H. Kang, H. Lee, and S. Yu) , SIAM J. Appl. Math. 73(6), 2055-2076 (2013)
[28] Enhancement of near-cloaking. Part II: the Helmholtz equation [download ] (with H. Ammari, H. Kang, H. Lee), Comm Math. Phys., 317(2), 485-502 (2013)
[27] Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem [ download ] (with H. Ammari, H. Kang, H. Lee), Comm Math. Phys. , 317(1), 253-266 (2013)
[26] Asymptotics and Computation of the Solution to the Conductivity Equation in the Presence of Adjacent Inclusions with Extreme Conductivities [ download ] (with H. Kang, and K. Yun), Jour Math Pures Appl., 99(2), 234-249 (2013)
[25] A new optimal control approach for the reconstruction of extended inclusions [ download ] (with H. Ammari, P. Garapon, F. Jouve, H. Kang, and S. Yu), SIAM J. Control Optim., 51(2), 1372-1394 (2013)
2012
[24] Enhancement of near-cloaking. Part III: numerical simulations, statistical stability, and related question (with H. Ammari, J. Garnier, V. Jugnon, H. Kang, H. Lee), Contemporary Mathematics, Volume 577 (2012)
[23] The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion [ download ] (with H. Ammari, H. Kang, M. Lim, and H. Zribi ), Math. Comp. 81, 367-386 (2012)
[22] Multistatic imaging of extended targets [ download ] (with H. Ammari, J. Garnier, H. Kang, and K. Solna), SIAM J. Imaging Sci., 5(2), 564-600 (2012)
2011
[21] Strong influence of a small fiber on shear stress in fiber-reinforced composites [ download ] (with K. Yun), J. Differential Equations, 250(5), 2402-2439 (2011)
[20] A direct algorithm for ultrasound imaging of internal corrosion [ download ] (with H. Ammari, H. Kang, E. Kim, and K. Louati), SIAM J. Numer. Anal., 49, 1177-1193 (2011)
[19] Reconstruction of the shape of an inclusion from Elastic Moment Tensors [ link ] (with S. Yu), Contemporary Mathematics 548 (2011)
2010
[18] Layer Potential Techniques in Spectral Analysis. Part I: Complete Asymptotic Expansions for Eigenvalues of the Laplacian in Domains with Small Inclusions [ download ] (with H. Ammari, H. Kang, and H. Zribi) Trans. Amer. Math. Soc., 362, 2901-2922. (2010)
[17] Conductivity Interface Problems. Part I: Small Perturbations of an Interface [ download ] (with H. Ammari, H. Kang, and H. Zribi), Trans. Amer. Math. Soc., 362, 2435-2449 (2010)
[16] Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements [ download ] (with H. Ammari, E. Beretta, E. Francini, H. Kang), Math. Comp., 79, 1757-1777 (2010)
[15] Reconstruction of small interface changes of an inclusion from modal measurements II: The elastic case [ download ] (with H. Ammari, E. Beretta, E. Francini, H. Kang), J. Math. Pures et Appl., 94(3), 322-339 (2010)
2009
[14] Decomposition Theorems and Fine Estimates for Electrical Fields in the Presence of Closely Located Circular Inclusions [ download ] (with H. Ammari, H. Kang, H. Lee, and H. Zribi), J. Diff. Equat., 247, 2897-2912 (2009)
[13] Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors [ download ] (with K. Yun), Comm. in Partial Differential Equations, 34, 1287 - 1315 (2009)
2008
[12] Reconstructing Small Perturbations of Scatterers from Electric or Acoustic Far-Field Measurements [ download ] (with K. Louati, and H. Zribi), Math. Methods in Appl. Sci., 31(11), 1315 - 1332 (2008)
2007
[11] Calculation of the local electric field for an infinite array of conducting nanosized objects [ download ] (M. Lim, D. Kim, J. Bouree, and S.Y. Kim), J. Phys. A: Math. Theor., 40, 853-62 (2007)
[10] Optimal Estimates for the Electrical Field in Two Dimensions [ download ] (with H. Ammari, H. Kang, H. Lee, J. Lee), J. Math. Pures Appl. 88, 307-24 (2007)
[9] Estimates for the electric field in the presence of adjacent perfectly conducting spheres [ download ] (with H. Ammari, G. Dassios, H. Kang), Quart. Appl. Math., 65, 339-355 (2007)
2006
[8] Effective parameters of elastic composites [ download ] (with H. Ammari, H. Kang), Indiana Univ. Math. J. , Vol 55 No. 3, 903-922 (2006)
[7] Attainability by simply connected domains of optimal bounds for the polarization tensor [ download ] (with H. Ammari, Y. Capdeboscq, H. Kang, E. Kim), European Jour. of Applied Math., 17 (2) , 201-219 (2006)
2005
[6] Reconstruction of closely spaced small inclusions [ download ] (with H. Ammari, H. Kang, E. Kim), SIAM Journal on Numerical Analysis, Vol 42, No. 6 , 2408-2428 (2005)
[5] Gradient estimates for solutions to the conductivity problem [ download ] (with H. Ammari, and H. Kang), Mathematische Annalen, 332(2), 277-286 (2005)
[4] Reconstruction of Polygonal Cavities by Two Boundary Measurements [ download ] (with H. Kang, and G. Nakamura), Journal of Physics: Conference Series, 12 , 75-82 (2005)
[3] Polarization tensors and their applications [ download ] (with H. Ammari, and H. Kang), Journal of Physics: Conference Series, 12, 13-22 (2005)
2003
[2] Detection of surface breaking cracks in two dimensions [ download ] (with H. Kang, and G. Nakamura), Inverse Problems, 19, 909-918 (2003)
2001
[1] Symmetry of a boundary integral operator and a characterization of a ball [ download ], Illinois J. Math. 45, 537-543 (2001)