Non-elliptical Neutral Coated Inclusions with Anisotropic Conductivity and E?-inclusions of General Shapes
M. Lim and Graeme W. Milton, arXiv:1809.10373
Geometric multipolar expansion and its application to neutral inclusion of arbitrary shape
D. S. Choi, J. Kim and M. Lim, arXiv:1808.02446
An extension of the Eshelby conjecture to domains of general shape
K. Kim and M. Lim, arXiv:1807.09981
A new series solution method for the transmission problem
Y. Jung and M. Lim, arXiv:1803.09458
Stress concentration for two nearly touching circular holes
M. Lim and S. Yu,
arXiv:1705.10400
Asymptotic analysis for superfocusing of the electric field in between two nearly touching metallic spheres
M. Lim and S. Yu, arXiv preprint arXiv:1412.2464
[41] Corner effects on the perturbation of an electric potential
Doo Sung Choi, Johan Helsing, and Mikyoung Lim,
SIAM J. Appl. Math., 78(3), 1577-1601 (2018)
[40] Asymptotics of the solution to the conductivity equation in the presence of an inclusion with eccentric core-shell geometry
J. Kim and M. Lim, Mathematische Annalen (2018)
[39]
A Joint Sparse Recovery Framework for Accurate Reconstruction of Inclusions in Elastic Media
Jaejun Yoo, Younghoon Jung, Mikyoung Lim, Jong Chul Ye and Abdul Wahab,
SIAM Journal on Imaging Sciences 10 (3), 1104-1138 (2017)
[38]
Shielding at a distance due to anomalous resonance in superlens with eccentric core
S Yu and M Lim, New J. Phys. 19 033018 (2017)
[37] Classification of spectra of the Neumann-Poincare operator on planar domains with corners by resonance
J Helsing, H Kang, M Lim,
Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Volume 34, Issue 4, 991-1011 (2017)
[36] Spectral resolution of the Neumann-Poincare operator on intersecting disks and analysis of plasmon resonance
H Kang, M Lim, and S Yu, Archive for Rational Mechanics and Analysis, Volume 226, Issue 1, 83-115 (2017)
[35] High-speed dual-beam, crossed line-scanning fluorescence microscope with a point confocal resolution
HW Jeong, HJ Kim, J Eun, S Heo, M Lim, YH Cho, BM Kim, Applied Optics 54 (12), 3811-3816
(2015)
[34] A non-iterative method for the electrical impedance tomography based on joint sparse recovery
O. K. Lee, H. Kang, J. C. Ye, and M. Lim,
Inverse Problems 31 (7), 075002 (2015)
[33] Asymptotics of the solution to the conductivity equation in the presence of adjacent circular inclusions with finite conductivities
M. Lim and S. Yu, J. Math. Anal. Appl. 421, 131-156 (2015)
[32] Construction of conformal mappings by generalized polarization tensors
H. Kang, H. Lee and M. Lim,
Mathematical Methods in the Applied Sciences 38 (9), 1847-1854 (2014)
[31] Characterization of the electric field concentration between two adjacent spherical perfect conductors
H. Kang, M. Lim and K. Yun,
SIAM J. Appl. Math. 74, 125-146 (2014)
[30] Generalized polarization tensors for shape description
H. Ammari, J. Garnier, H. Kang, M. Lim, and S. Yu,
Numerische Mathematik 126, 199-224 (2014)
[29] Enhancement of Near Cloaking for the Full Maxwell Equations
H. Ammari, H. Kang, H. Lee, M. Lim, and S. Yu,
SIAM J. Appl. Math. 73(6), 2055-2076 (2013)
[28] Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem
H. Ammari, H. Kang, H. Lee, and M. Lim,
Comm Math. Phys. Volume 317, Issue 1, pp 253-266 (2013)
[27] Enhancement of near-cloaking. Part II: the Helmholtz equation
H. Ammari, H. Kang, H. Lee, and M. Lim,
Comm Math. Phys. Volume 317, Issue 2, pp 485-502 (2013)
[26] Asymptotics and Computation of the Solution to the Conductivity Equation in the Presence of Adjacent Inclusions with Extreme Conductivities
H. Kang, M. Lim, and K. Yun,
Jour Math Pures Appl., Volume 99, Issue 2, 234-249 (2013)
[25] A new optimal control approach for the reconstruction of extended inclusions
H. Ammari, P. Garapon, F. Jouve, H. Kang, M. Lim, and S. Yu,
SIAM J. Control Optim., 51(2), 1372-1394 (2013)
[24] Enhancement of near-cloaking. Part III: numerical simulations, statistical stability, and related questions
H. Ammari, J. Garnier, V. Jugnon, H. Kang, H. Lee, and M. Lim,
Contemporary Mathematics, Volume 577 (2012)
[23] Multistatic imaging of extended targets
H. Ammari, J. Garnier, H. Kang, M. Lim, and K. Solna,
SIAM J. Imaging Sci., 5(2), 564-600 (2012)
[22] The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion
H. Ammari, H. Kang, M. Lim, and H. Zribi,
Mathematics of Computation 81, 367-386 (2012)
[21] Reconstruction of the shape of an inclusion from Elastic Moment Tensors
M. Lim and S. Yu,
Contemporary Mathematics 548 (2011)
[20] A direct algorithm for ultrasound imaging of internal corrosion
H. Ammari, H. Kang, E. Kim, M. Lim, and K. Louati, SIAM J. Numer. Anal. 49, pp. 1177-1193 (2011)
[19] Strong influence of a small fiber on shear stress in fiber-reinforced composites
M. Lim and K. Yun, Journal of Differential Equations Volume 250, Issue 5, 2402-2439(2011)
[18] RECONSTRUCTION OF SMALL INTERFACE CHANGES OF AN
INCLUSION FROM MODAL MEASUREMENTS II: THE ELASTIC CASE
H. Ammari, E. Beretta, E. Francini, H. Kang, and M. Lim, J. Math. Pures et Appl. Volume 94 (2010), Issue 3, 322-339.
[17] H. Ammari, E. Beretta, E. Francini, H. Kang, and M. Lim, Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements, Mathematics of Computation, 79 (2010) 1757-1777
[16] H. Ammari, H. Kang, M. Lim, and H. Zribi, Conductivity Interface Problems. Part I: Small Perturbations of an Interface, Trans. Amer. Math. Soc. 362 (2010), 2435-2449
[15] 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 (2010), 2901-2922.
[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 (2009) 2897-2912
[13] M. Lim and K. Yun, Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors, Communications in Partial Differential Equations, Volume 34, Issue 10 October 2009 , 1287 - 1315.
[12] M. Lim, K. Louati, and H. Zribi, Reconstructing Small Perturbations of Scatterers from Electric or Acoustic Far-Field Measurements, Mathematical Methods in applied Sciences, Volume 31 (2008) Issue 11, Pages 1315 - 1332.
[11] 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 (2007) 307-24
[10] 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 (2007), 339-355.
[9] 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 (2007) 853-62.
[8] 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) (April, 2006), 201-219.
[7] H. Ammari, H. Kang, and M. Lim, Effective parameters of elastic composites, Indiana University Mathematics Journal, 55 No. 3 (2006), 903-922.
[6] H. Ammari, H. Kang, and M. Lim, Polarization tensors and their applications, Journal of Physics: Conference Series, 12 (2005), 13-22.
[5] H. Kang, M. Lim, and G. Nakamura, Reconstruction of Polygonal Cavities by Two Boundary Measurements, Journal of Physics: Conference Series, 12 (2005), 75-82.
[4] H. Ammari, H. Kang, and M. Lim, Gradient estimates for solutions to the conductivity problem, Math. Ann., 332(2) (2005), 277-286.
[3] H. Ammari, H. Kang, E. Kim, and M. Lim, Reconstruction of closely spaced small inclusions, SIAM Journal on Numerical Analysis, Vol 42, No. 6 (2005), 2408-2428.
[2] H. Kang, M. Lim, and G. Nakamura, Detection of surface breaking cracks in two dimensions, Inverse Problems, 19 (2003), 909-918.
[1] M. Lim,
Symmetry of a boundary integral operator and a characterization of a ball, Illinois J. Math. 45
(2001), 537-543.
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