Publication

 Book 

Mathematical and Statistical Methods for Multistatic Imaging 

(with A. Ammari, J. Garnier, W. Jing, H. Kang, K. Solna, and H. Wang) Lecture Notes in Mathematics, Volume 2098, Springer, 2013. 

 Papers 


[57]  "Construction of inclusions with vanishing generalized polarization tensors by imperfect interfaces",  Doosung Choi and M. Lim, Studies in Applied Mathematics, 152(2), 673-695 (2024)

[56] " Spectral analysis of the Neumann–Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance",  Younghoon Jung and M. Lim,  Nonlinear Analysis: Real World Applications, 74,103951 (2023)

[55]  "Inverse problem for a planar conductivity inclusion", Doosung Choi, Johan Helsing, Sangwoo Kang,  and M Lim,   SIAM Journal on Imaging Sciences 16 (2), 969-995 (2023)

[54] "Geometric multipole expansion and its application to semi-neutral inclusions of general shape", Doosung Choi, Junbeom Kim and M. Lim, Zeitschrift für angewandte Mathematik und Physik (ZAMP), 74, Article number: 39 (2023)

[53]  Sangwoo Kang, M. Lim, and  Won-Kwang Park, "Fast identification of short, linear perfectly conducting cracks in a bistatic measurement configuration", J. Comput. Phys., 468, 111479 (2022)

[52] Sangwoo Kang and M. Lim, "Monostatic sampling methods in limited-aperture configuration", Appl. Math. Comput., 427, 127170 (2022).

[51]  Jiho Hong, M. Lim, and Dong-Hwi Seo, "On the first Steklov-Dirichlet eigenvalue for eccentric annuli", Ann. Mat. Pura Appl., 201, 769–799 (2022)

[50] Elena Cherkaev, Minwoo Kim, and M. Lim, "Geometric series expansion of the Neumann-Poincare operator: application to composite materials", Eur. J. Appl. Math., 33(3), 560-585 (2022)

[49] Ornella Mattei and M. Lim, "Explicit analytic solution for the plane elastostatic problem with a rigid inclusion of arbitrary shape subject to arbitrary far-field loadings", Journal of Elasticity, 144, 81–105 (2021)

[48] Y. Jung and M. Lim,  "Series expansions of the layer potential operators using the Faber polynomials and their applications to the transmission problem", SIAM J. Math. Anal 53(2), 1630–1669. (2021)

[47] D. Choi, K. Kim,  and M. Lim,  "An extension of the Eshelby conjecture to domains of general shape in anti-plane elasticity",  J. Math. Anal. Appl.  495(2),124756 (2021)

[46] E. Hong,  E. Lee, Y.  Jung and  M. Lim, "Numerical solution to the interface problem in a general domain using Moser's deformation method",  J. Appl. Math. Comput. 65, 379–401(2021)

[45] D. Choi, J. Kim, and M. Lim, "Analytical shape recovery of a conductivity inclusion based on Faber polynomials", Mathematische Annalen, 381, 1837–1867 (2021)

[44] M. Lim and Graeme W Milton, "Inclusions of General Shapes Having Constant Field Inside the Core and NonElliptical Neutral Coated Inclusions With Anisotropic Conductivity", SIAM J. Appl. Math., 80(3), 1420–1440 (2020)

[43] Y. Jung and M. Lim, " A decay estimate for the eigenvalues of the Neumann-Poincaré operator in two dimensions using the Grunsky coefficients",   Proc. Amer. Math. Soc., 148(2):591–600 (2020)

[42]  J. Kim and M. Lim, " Electric field concentration in the presence of an inclusion with eccentric core-shell geometry",  Mathematische Annalen 373 (1-2), 517-551 (2019)

[41] Doosung Choi, Johan Helsing, and M. Lim, "Corner effects on the perturbation of an electric potential",  SIAM J. Appl. Math., 78(3), 1577-1601 (2018) 

[40] J. Yoo, Y. Jung, M. Lim,  J. C. Ye and A. Wahab, " A Joint Sparse Recovery Framework for Accurate Reconstruction of Inclusions in Elastic Media", SIAM J. Imaging Sci. 10 (3), 1104-1138 (2017)

[39] J Helsing, H Kang, M Lim, " Classification of spectra of the Neumann-Poincare operator on planar domains with corners by resonance",  Annales de l'Institut Henri Poincare (C) Non Linear Analysis Volume 34, Issue 4, 991-1011 (2017) 

[38] S Yu and M Lim, " Shielding at a distance due to anomalous resonance",  New J. Phys. 19 033018 (2017)

[37] H Kang, M Lim, and S Yu, " Spectral resolution of the Neumann-Poincare operator on intersecting disks and analysis of plasmon resonance", Arch. Ration. Mech. Anal (ARMA), Volume 226, Issue 1, 83-115 (2017)

[36] M. Lim, " A review on the enhancement of near-cloaking using the multilayer structure"  Contemporary Mathematics 660 (2016) 

[35] O. K. Lee, H. Kang, J. C. Ye, and M. Lim, "A non-iterative method for the electrical impedance tomography based on joint sparse recovery",  Inverse Problems 31 (7), 075002 (2015)

[34] HW Jeong, HJ Kim, J Eun, S Heo, M Lim, YH Cho, BM Kim, "High-speed dual-beam, crossed line-scanning fluorescence microscope with a point confocal resolution"  Applied Optics 54 (12), 3811-3816 (2015)

[33] M. Lim and S. Yu, "Asymptotics of the solution to the conductivity equation in the presence of adjacent circular inclusions with finite conductivities",       J. Math. Anal. Appl. 421, 131-156 (2015)

[32] H. Kang, H. Lee and M. Lim, "Construction of conformal mappings by generalized polarization tensors",  Mathematical Methods in the Applied Sciences 38 (9), 1847-1854 (2015)

[31]  H.  Ammari, J.  Garnier, H.  Kang, M.  Lim, and S.  Yu  "Generalized polarization tensors for shape description",  Numerische Mathematik 126, 199-224 (2014)

[30] H. Kang, M. Lim and K. Yun  "Characterization of the electric field concentration between two adjacent spherical perfect conductors",  SIAM J. Appl. Math. 74, 125-146  (2014)

[29] H. Ammari, H. Kang, H. Lee, M. Lim, and S. Yu "Enhancement of Near Cloaking for the Full Maxwell Equations", SIAM J. Appl. Math. 73(6), 2055-2076  (2013)

[28] H. Ammari, H. Kang, H. Lee, and M. Lim  "Enhancement of near-cloaking. Part II: the Helmholtz equation", Comm Math. Phys. Volume 317, Issue 2, pp 485-502  (2013)

[27] H. Ammari, H. Kang, H. Lee, and M. Lim "Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem" Comm Math. Phys. Volume 317, Issue 1, pp 253-266 (2013)

[26] H. Kang, M. Lim, and K. Yun "Asymptotics and Computation of the Solution to the Conductivity Equation in the Presence of Adjacent Inclusions with Extreme Conductivities"  Jour Math Pures Appl., Volume 99, Issue 2, 234-249  (2013) 

[25] H. Ammari, P. Garapon, F. Jouve, H. Kang, M. Lim, and S. Yu  "A new optimal control approach for the reconstruction of extended inclusions",  SIAM J. Control Optim., 51(2), 1372-1394  (2013)

[24] H. Ammari, J. Garnier, V. Jugnon, H. Kang, H. Lee, and M. Lim "Enhancement of near-cloaking. Part III: numerical simulations, statistical stability, and related question", Contemporary Mathematics, Volume 577 (2012)

[23] H. Ammari, H. Kang, M. Lim, and H. Zribi "The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion" Math.  Comp. 81, 367-386  (2012) 

[22] H. Ammari, J. Garnier, H. Kang, M. Lim, and K. Solna  "Multistatic imaging of extended targets"  SIAM J. Imaging Sci., 5(2), 564-600  (2012)

[21] M. Lim and K. Yun "Strong influence of a small fiber on shear stress in fiber-reinforced composites"  J. Differential Equations Volume 250, Issue 5, 2402-2439  (2011)

[20] H. Ammari, H. Kang, E. Kim, M. Lim, and K. Louati "A direct algorithm for ultrasound imaging of internal corrosion"  SIAM J. Numer. Anal. 49, pp. 1177-1193  (2011) 

[19] M. Lim and S. Yu "Reconstruction of the shape of an inclusion from Elastic Moment Tensors" Contemporary Mathematics 548 (2011) 

[18] H. Ammari, H. Kang, M. Lim, and H. Zribi  "Layer Potential Techniques in Spectral Analysis. Part I: Complete Asymptotic Expansions for Eigenvalues of the Laplacian in Domains with Small Inclusions", Trans. Amer. Math. Soc. 362, 2901-2922. (2010) 

[17] H. Ammari, H. Kang, M. Lim, and H. Zribi,  "Conductivity Interface Problems. Part I: Small Perturbations of an Interface",  Trans. Amer. Math. Soc. 362, 2435-2449  (2010)

[16] H. Ammari, E. Beretta, E. Francini, H. Kang, and M. Lim  "Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements", Math. Comp. 79, 1757-1777  (2010) 

[15] H. Ammari, E. Beretta, E. Francini, H. Kang, and M. Lim  "RECONSTRUCTION OF SMALL INTERFACE CHANGES OF AN INCLUSION FROM MODAL MEASUREMENTS II: THE ELASTIC CASE"  J. Math. Pures et Appl. Volume 94,  Issue 3, 322-339 (2010) 

[14] H. Ammari, H. Kang, H. Lee, M. Lim, and H. Zribi  "Decomposition Theorems and Fine Estimates for Electrical Fields in the Presence of Closely Located Circular Inclusions"  J. Diff. Equat. 247, 2897-2912  (2009)

[13] M. Lim and K. Yun "Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors", Comm. in Partial Differential Equations, Vol 34, 1287 - 1315  (2009)

[12] M. Lim, K. Louati, and H. Zribi, "Reconstructing Small Perturbations of Scatterers from Electric or Acoustic Far-Field Measurements", Math. Methods in Appl. Sci., Volume 31, Issue 11,  1315 - 1332 (2008)

[11] M. Lim, D. Kim, J. Bouree, and S.Y. Kim,  "Calculation of the local electric field for an infinite array of conducting nanosized objects",   J. Phys. A: Math. Theor. 40, 853-62  (2007)

[10] H. Ammari, H. Kang, H. Lee, J. Lee, and M. Lim,  "Optimal Estimates for the Electrical Field in Two Dimensions",  J. Math. Pures Appl. 88, 307-24  (2007)

[9] H. Ammari, G. Dassios, H. Kang, and M. Lim,  "Estimates for the electric field in the presence of adjacent perfectly conducting spheres",  Quart. Appl. Math. 65, 339-355  (2007)

[8] H. Ammari, H. Kang, and M. Lim,  "Effective parameters of elastic composites", Indiana Univ. Math. J.  Vol 55 No. 3,  903-922  (2006)

[7] H. Ammari, Y. Capdeboscq, H. Kang, E. Kim, and M. Lim, "Attainability by simply connected domains of optimal bounds for the polarization tensor",  European Jour. of Applied Math. 17 (2) , 201-219  (2006) 

[6] H. Ammari, H. Kang, E. Kim, and M. Lim, "Reconstruction of closely spaced small inclusions", SIAM Journal on Numerical Analysis, Vol 42, No. 6 , 2408-2428  (2005) 

[5] H. Ammari, H. Kang, and M. Lim, "Gradient estimates for solutions to the conductivity problem",  Mathematische Annalen, 332(2), 277-286 (2005)

[4] H. Kang, M. Lim, and G. Nakamura, "Reconstruction of Polygonal Cavities by Two Boundary Measurements", Journal of Physics: Conference Series, 12 , 75-82  (2005) 

[3] H. Ammari, H. Kang, and M. Lim, "Polarization tensors and their applications", Journal of Physics: Conference Series, 12, 13-22 (2005)

[2] H. Kang, M. Lim, and G. Nakamura,  "Detection of surface breaking cracks in two dimensions", Inverse Problems, 19, 909-918  (2003)

[1] M. Lim, "Symmetry of a boundary integral operator and a characterization of a ball", Illinois J. Math. 45, 537-543 (2001)