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1
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0007473029
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Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
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Friedman A, Vogelius M. Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence. Archive for Rational Mechanics and Analysis 1989; 105:299-326.
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Archive for Rational Mechanics and Analysis
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Friedman, A.1
Vogelius, M.2
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2
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0345055600
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Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
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Ammari H, Kang H, Nakamura G, Tanuma K. Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion. Journal of Elasticity 2002; 67:97-129.
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(2002)
Journal of Elasticity
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Ammari, H.1
Kang, H.2
Nakamura, G.3
Tanuma, K.4
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3
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0037663749
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Identification of elastic inclusions and elastic moment tensors by boundary measurements
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Kang H, Kim E, Lee J. Identification of elastic inclusions and elastic moment tensors by boundary measurements. Inverse Problems 2003; 19:703-724.
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(2003)
Inverse Problems
, vol.19
, pp. 703-724
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Kang, H.1
Kim, E.2
Lee, J.3
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4
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18144380854
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Reconstruction of Small Inhomogeneities from Boundary Measurements
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Springer: Berlin
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Ammari H, Kang H. Reconstruction of Small Inhomogeneities from Boundary Measurements. Lecture Notes in Mathematics, vol. 1846. Springer: Berlin, 2004.
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(2004)
Lecture Notes in Mathematics
, vol.1846
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Ammari, H.1
Kang, H.2
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5
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84941785898
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Polarization and Moment Tensors with Applications to Inverse Problems and Effective Medium Theory
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Springer: New York
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Ammari H, Kang H. Polarization and Moment Tensors with Applications to Inverse Problems and Effective Medium Theory. Applied Mathematical Sciences, vol. 162. Springer: New York, 2007.
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(2007)
Applied Mathematical Sciences
, vol.162
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Ammari, H.1
Kang, H.2
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6
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0037427986
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Asymptotic expansions for eigenvalues in the presence of small inhomogeneities
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Ammari H, Moskow S. Asymptotic expansions for eigenvalues in the presence of small inhomogeneities. Mathematical Methods in the Applied Sciences 2003; 26:67-75.
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(2003)
Mathematical Methods in the Applied Sciences
, vol.26
, pp. 67-75
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Ammari, H.1
Moskow, S.2
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7
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84920355948
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Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions
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in press
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Ammari H, Kang H, Lim M, Zribi H. Layer potential techniques in spectral analysis. Part I: complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions. Transactions of the American Mathematical Society, in press.
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Transactions of the American Mathematical Society
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Ammari, H.1
Kang, H.2
Lim, M.3
Zribi, H.4
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9
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0041098394
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Comportement asymptotique des valeurs propres du Laplacian dans un domaine avec un trou.
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Besson G. Comportement asymptotique des valeurs propres du Laplacian dans un domaine avec un trou. Bulletin de la Societe Mathematique de France 1985; 113:211-230.
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Besson, G.1
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84972569644
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Singular variation of domains and eigenvalues of the Laplacian
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Ozawa S. Singular variation of domains and eigenvalues of the Laplacian. Duke Mathematical Journal 1981; 48:767-778.
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Duke Mathematical Journal
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Ozawa, S.1
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0012357461
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An asymptotic formula for the eigenvalues of the Laplacian in a three-dimensional domain with a small hole
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Ozawa S. An asymptotic formula for the eigenvalues of the Laplacian in a three-dimensional domain with a small hole. Journal of the Faculty of Science University of Tokyo Section IA 1983; 30:243-257.
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Journal of the Faculty of Science University of Tokyo Section IA
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Ozawa, S.1
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13
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36448982159
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Asymptotic expansions for eigenvalues of the Lame system in the presence of small inclusions
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Ammari H, Kang H, Lee H. Asymptotic expansions for eigenvalues of the Lame system in the presence of small inclusions. Communications in Partial Differential Equations 2007; 32:1715-1736.
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(2007)
Communications in Partial Differential Equations
, vol.32
, pp. 1715-1736
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Ammari, H.1
Kang, H.2
Lee, H.3
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14
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85153197096
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Vibration analysis for detecting internal corrosion
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submitted
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Ammari H, Kang H, Kim E, Lee H, Louati K. Vibration analysis for detecting internal corrosion. Studies in Applied Mathematics, submitted.
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Studies in Applied Mathematics
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Ammari, H.1
Kang, H.2
Kim, E.3
Lee, H.4
Louati, K.5
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16
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0007544668
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A variational approach to the theory of the elastic behavior of multiphase materials
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Hashin Z, Shtrikman S. A variational approach to the theory of the elastic behavior of multiphase materials. Journal of the Mechanics and Physics of Solids 1963; 11:127-140.
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Journal of the Mechanics and Physics of Solids
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Hashin, Z.1
Shtrikman, S.2
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17
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38249002936
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Inequalities for electric and elastic polarization tensors with applications to random composites
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Lipton R. Inequalities for electric and elastic polarization tensors with applications to random composites. Journal of the Mechanics and Physics ofSolids 1993; 41:809-833.
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(1993)
Journal of the Mechanics and Physics ofSolids
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, pp. 809-833
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Lipton, R.1
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18
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67649346693
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Capdeboscq Y, Vogelius MS. A review of some recent work on impedance imaging for inhomogeneities of low fraction. Partial Differential Equations and Inverse Problems. Contemporary Mathematics, 362.American Mathematical Society: Providence, RI, 2004; 69-87.
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Capdeboscq Y, Vogelius MS. A review of some recent work on impedance imaging for inhomogeneities of low volume fraction. Partial Differential Equations and Inverse Problems. Contemporary Mathematics, vol. 362.American Mathematical Society: Providence, RI, 2004; 69-87.
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19
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33749324232
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Attainability by simply connected domains of optimal bounds for polarization tensors
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Ammari H, Capdeboscq Y, Kang H, Kim E, Lim M. Attainability by simply connected domains of optimal bounds for polarization tensors. European Journal of Applied Mathematics 2006; 17(2):201-219.
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(2006)
European Journal of Applied Mathematics
, vol.17
, Issue.2
, pp. 201-219
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Ammari, H.1
Capdeboscq, Y.2
Kang, H.3
Kim, E.4
Lim, M.5
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20
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0038594506
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A direct impedance tomography algorithm for locating small inhomogeneities
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Briihl M, Hanke M, Vogelius M. A direct impedance tomography algorithm for locating small inhomogeneities. Numerische Mathematik 2003; 93:635-654.
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Numerische Mathematik
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Briihl, M.1
Hanke, M.2
Vogelius, M.3
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21
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43149096408
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On Conjectures of Polya-Szego and Eshelby
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Inverse Problems, Multi-scale Analysis and Effective Medium Theory, American Mathematical Society: Providence,RI
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Kang H, Milton GW. On Conjectures of Polya-Szego and Eshelby. Inverse Problems, Multi-scale Analysis and Effective Medium Theory. Contemporary Mathematics, vol. 408. American Mathematical Society: Providence,RI, 2006; 75-80.
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(2006)
Contemporary Mathematics
, vol.408
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Kang, H.1
Milton, G.W.2
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22
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43149087789
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Solutions to the Polya-Szego conjecture and the weak Eshelby conjecture
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Kang H, Milton GW. Solutions to the Polya-Szego conjecture and the weak Eshelby conjecture. Archive for Rational Mechanics and Analysis 2008; 188:93-116.
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Archive for Rational Mechanics and Analysis
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Kang, H.1
Milton, G.W.2
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84968494824
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Generic properties of eigenfunctions of elliptic partial differential operators
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Numerical Analysis
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Kress R. Numerical Analysis. Graduate Texts in Mathematics, vol. 181. Springer: Berlin, 1998.
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