-
1
-
-
0003362526
-
Sobolev Spaces
-
Academic Press, New York
-
R.A. Adams, Sobolev Spaces, Pure Appl. Math. 65. Academic Press, New York (1975).
-
(1975)
Pure Appl. Math.
, vol.65
-
-
Adams, R.A.1
-
2
-
-
34548417185
-
-
MUSIC-type electromagnetic imaging of a collection of small three-dimensional bounded inclusions
-
H. Ammari, E. Iakovleva, D. Lesselier and G. Perrusson, MUSIC-type electromagnetic imaging of a collection of small three-dimensional bounded inclusions. SIAM J. Sci. Comput. 29 (2007) 674-709.
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, pp. 674-709
-
-
Ammari, H.1
Iakovleva, E.2
Lesselier, D.3
Perrusson, G.4
-
3
-
-
0042350702
-
-
High-order terms in the asymptotic expansions of the steady-state voltage potentials in the presence of conductivity inhomogeneities of small diameter
-
H. Ammari and H. Kang, High-order terms in the asymptotic expansions of the steady-state voltage potentials in the presence of conductivity inhomogeneities of small diameter. SIAM J. Math. Anal. 34 (2003) 1152-1166.
-
(2003)
SIAM J. Math. Anal.
, vol.34
, pp. 1152-1166
-
-
Ammari, H.1
Kang, H.2
-
4
-
-
3242757541
-
-
Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities
-
H. Ammari and H. Kang, Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities. J. Math. Anal. Appl. 296 (2004) 190-208.
-
(2004)
J. Math. Anal. Appl.
, vol.296
, pp. 190-208
-
-
Ammari, H.1
Kang, H.2
-
5
-
-
85067980796
-
Polarization and Moment Tensors with Applications to Inverse Problems and Effective Medium Theory
-
Springer-Verlag, Berlin
-
H. Ammari and H. Kang, Polarization and Moment Tensors with Applications to Inverse Problems and Effective Medium Theory, Appl. Math. Sci. 162. Springer-Verlag, Berlin (2007).
-
(2007)
Appl. Math. Sci.
, vol.162
-
-
Ammari, H.1
Kang, H.2
-
6
-
-
0042178375
-
-
Electromagnetic scattering by small dielectric inhomogeneities
-
H. Ammari and A. Khelifi, Electromagnetic scattering by small dielectric inhomogeneities. J. Math. Pures Appl. 82 (2003) 749-842.
-
(2003)
J. Math. Pures Appl.
, vol.82
, pp. 749-842
-
-
Ammari, H.1
Khelifi, A.2
-
7
-
-
0002559729
-
-
Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
-
H. Ammari, S. Moskow and M.S. Vogelius, Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume. ESAIM: COCV 9 (2003) 49-66.
-
(2003)
ESAIM: COCV
, vol.9
, pp. 49-66
-
-
Ammari, H.1
Moskow, S.2
Vogelius, M.S.3
-
8
-
-
0013001349
-
-
An accurate formula for the reconstruction of conductivity inhomogeneities
-
H. Ammari and J.K. Seo, An accurate formula for the reconstruction of conductivity inhomogeneities. Adv. Appl. Math. 30 (2003) 679-705.
-
(2003)
Adv. Appl. Math.
, vol.30
, pp. 679-705
-
-
Ammari, H.1
Seo, J.K.2
-
9
-
-
0035596680
-
-
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. the full Maxwell equations
-
H. Ammari, M.S. Vogelius and D. Volkov, Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. the full Maxwell equations. J. Math. Pures Appl. 80 (2001) 769-814.
-
(2001)
J. Math. Pures Appl.
, vol.80
, pp. 769-814
-
-
Ammari, H.1
Vogelius, M.S.2
Volkov, D.3
-
10
-
-
0036623876
-
-
Asymptotic formulas for perturbations in the eigenfrequencies of the full maxwell equations due to the presence of imperfections of small diameter
-
H. Ammari and D. Volkov, Asymptotic formulas for perturbations in the eigenfrequencies of the full maxwell equations due to the presence of imperfections of small diameter. Asympt. Anal. 30 (2002) 331-350.
-
(2002)
Asympt. Anal.
, vol.30
, pp. 331-350
-
-
Ammari, H.1
Volkov, D.2
-
11
-
-
55149099005
-
-
The leading order term in the asymptotic expansion of the scattering amplitude of a collection of finite number of dielectric inhomogeneities of small diameter
-
H. Ammari and D. Volkov, The leading order term in the asymptotic expansion of the scattering amplitude of a collection of finite number of dielectric inhomogeneities of small diameter. Int. J. Multiscale Comput. Engrg. 3 (2005) 149-160.
-
(2005)
Int. J. Multiscale Comput. Engrg.
, vol.3
, pp. 149-160
-
-
Ammari, H.1
Volkov, D.2
-
13
-
-
70350322119
-
-
Thin cylindrical conductivity inclusions in a 3-dimensional domain: a polarization tensor and unique determination from boundary data
-
E. Beretta, Y. Capdeboscq, F. de Gournay and E. Francini, Thin cylindrical conductivity inclusions in a 3-dimensional domain: a polarization tensor and unique determination from boundary data. Inverse Problems 25 (2009) 065004.
-
(2009)
Inverse Problems
, vol.25
, pp. 065004
-
-
Beretta, E.1
Capdeboscq, Y.2
De Gournay, F.3
Francini, E.4
-
14
-
-
80052015010
-
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of thin inhomogeneities Contemp
-
edited by G. Uhlmann and G. Alessandrini, Amer. Math. Soc., Providence
-
E. Beretta and E. Francini, Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of thin inhomogeneities Contemp. Math. 333, edited by G. Uhlmann and G. Alessandrini, Amer. Math. Soc., Providence (2003).
-
(2003)
Math.
, vol.333
-
-
Beretta, E.1
Francini, E.2
-
15
-
-
0142024082
-
-
Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. a rigorous error analysis
-
E. Beretta, E. Francini and M.S. Vogelius, Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. a rigorous error analysis. J. Math. Pures Appl. 82 (2003) 1277-1301.
-
(2003)
J. Math. Pures Appl.
, vol.82
, pp. 1277-1301
-
-
Beretta, E.1
Francini, E.2
Vogelius, M.S.3
-
16
-
-
0035537076
-
-
Asymptotic formulas for steady state voltage potentials in the presence of conductivity imperfections of small area
-
E. Beretta, A. Mukherjee and M.S. Vogelius, Asymptotic formulas for steady state voltage potentials in the presence of conductivity imperfections of small area. Z. Angew. Math. Phys. 52 (2001) 543-572.
-
(2001)
Z. Angew. Math. Phys.
, vol.52
, pp. 543-572
-
-
Beretta, E.1
Mukherjee, A.2
Vogelius, M.S.3
-
17
-
-
0038594506
-
-
A direct impedance tomography algorithm for locating small inhomogeneities
-
M. Brühl, M. Hanke and M.S. Vogelius, A direct impedance tomography algorithm for locating small inhomogeneities. Numer. Math. 93 (2003) 635-654.
-
(2003)
Numer. Math.
, vol.93
, pp. 635-654
-
-
Brühl, M.1
Hanke, M.2
Vogelius, M.S.3
-
18
-
-
0037265519
-
-
A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
-
Y. Capdeboscq and M.S. Vogelius, A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. Math. Model. Numer. Anal. 37 (2003) 159-173.
-
(2003)
Math. Model. Numer. Anal.
, vol.37
, pp. 159-173
-
-
Capdeboscq, Y.1
Vogelius, M.S.2
-
19
-
-
18144369080
-
-
Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements
-
Y. Capdeboscq and M.S. Vogelius, Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. Math. Model. Numer. Anal. 37 (2003) 227-240.
-
(2003)
Math. Model. Numer. Anal.
, vol.37
, pp. 227-240
-
-
Capdeboscq, Y.1
Vogelius, M.S.2
-
20
-
-
33847380047
-
A review of some recent work on impedance imaging for inhomogeneities of low volume fraction
-
edited by C. Conca, R. Manasevich, G. Uhlmann and M.S. Vogelius, Amer. Math. Soc., Providence
-
Y. Capdeboscq and M.S. Vogelius, A review of some recent work on impedance imaging for inhomogeneities of low volume fraction. Contemp. Math. 362, edited by C. Conca, R. Manasevich, G. Uhlmann and M.S. Vogelius, Amer. Math. Soc., Providence (2004).
-
(2004)
Contemp. Math.
, vol.362
-
-
Capdeboscq, Y.1
Vogelius, M.S.2
-
21
-
-
33847413683
-
-
Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities
-
Y. Capdeboscq and M.S. Vogelius, Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities. Asymptot. Anal. 50 (2006) 175-204.
-
(2006)
Asymptot. Anal.
, vol.50
, pp. 175-204
-
-
Capdeboscq, Y.1
Vogelius, M.S.2
-
22
-
-
0000932785
-
-
Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
-
D. Cedio-Fengya, S. Moskow and M.S. Vogelius, Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction. Inverse Problems 14 (1998) 553-595.
-
(1998)
Inverse Problems
, vol.14
, pp. 553-595
-
-
Cedio-Fengya, D.1
Moskow, S.2
Vogelius, M.S.3
-
23
-
-
0035419161
-
-
The linear sampling method and the MUSIC algorithm
-
M. Cheney, The linear sampling method and the MUSIC algorithm. Inverse Problems 17 (2001) 591-595.
-
(2001)
Inverse Problems
, vol.17
, pp. 591-595
-
-
Cheney, M.1
-
26
-
-
0007473029
-
-
Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence
-
A. Friedman and M.S. Vogelius, Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence. Arch. Rational Mech. Anal. 105 (1989) 299-326.
-
(1989)
Arch. Rational Mech. Anal.
, vol.105
, pp. 299-326
-
-
Friedman, A.1
Vogelius, M.S.2
-
27
-
-
0003259059
-
Elliptic partial differential equations of second order
-
2nd edition, Springer-Verlag, Berlin
-
D. Gilbarg and N.S. Trudinger, Elliptic partial differential equations of second order, Grundlehren der Mathematischen Wissenschaften 224. 2nd edition, Springer-Verlag, Berlin (1998).
-
(1998)
Grundlehren der Mathematischen Wissenschaften
, vol.224
-
-
Gilbarg, D.1
Trudinger, N.S.2
-
28
-
-
55149103735
-
-
An asymptotic factorization method for inverse electromagnetic scattering in layered media
-
R. Griesmaier, An asymptotic factorization method for inverse electromagnetic scattering in layered media. SIAM J. Appl. Math. 68 (2008) 1378-1403.
-
(2008)
SIAM J. Appl. Math.
, vol.68
, pp. 1378-1403
-
-
Griesmaier, R.1
-
29
-
-
77955356794
-
-
Reciprocity gap music imaging for an inverse scattering problem in two-layered media
-
R. Griesmaier, Reciprocity gap music imaging for an inverse scattering problem in two-layered media. Inverse Probl. Imaging 3 (2009) 389-403.
-
(2009)
Inverse Probl. Imaging
, vol.3
, pp. 389-403
-
-
Griesmaier, R.1
-
30
-
-
78651543328
-
-
Reconstruction of thin tubular inclusions in three-dimensional domains using electrical impedance tomography
-
R. Griesmaier, Reconstruction of thin tubular inclusions in three-dimensional domains using electrical impedance tomography. SIAM J. Imaging Sci. 3 (2010) 340-362.
-
(2010)
SIAM J.Imaging Sci.
, vol.3
, pp. 340-362
-
-
Griesmaier, R.1
-
31
-
-
78049423529
-
-
An asymptotic factorization method for inverse electromagnetic scattering in layered media II: A numerical study
-
R. Griesmaier and M. Hanke, An asymptotic factorization method for inverse electromagnetic scattering in layered media II: A numerical study. Contemp. Math. 494 (2008) 61-79.
-
(2008)
Contemp. Math.
, vol.494
, pp. 61-79
-
-
Griesmaier, R.1
Hanke, M.2
-
32
-
-
70350647608
-
-
MUSIC-characterization of small scatterers for normal measurement data
-
R. Griesmaier and M. Hanke, MUSIC-characterization of small scatterers for normal measurement data. Inverse Problems 25 (2009) 075012.
-
(2009)
Inverse Problems
, vol.25
, pp. 075012
-
-
Griesmaier, R.1
Hanke, M.2
-
34
-
-
0003218827
-
Matching of asymptotic expansions of solutions of boundary value problems
-
translated by V. Minachin, American Mathematical Society, Providence, RI
-
A.M. Il'in, Matching of asymptotic expansions of solutions of boundary value problems, Translations of Mathematical Monographs 102, translated by V. Minachin, American Mathematical Society, Providence, RI (1992).
-
(1992)
Translations of Mathematical Monographs
, vol.102
-
-
Il'In, A.M.1
-
35
-
-
67649271388
-
The factorization method for inverse problems
-
Oxford University Press, New York
-
A. Kirsch and N. Grinberg, The Factorization Method for Inverse Problems, Oxford Lecture Ser. Math. Appl. 36. Oxford University Press, New York (2008).
-
(2008)
Oxford Lecture Ser. Math. Appl.
, vol.36
-
-
Kirsch, A.1
Grinberg, N.2
-
37
-
-
27744463042
-
Finite Element Methods for Maxwell's Equations
-
Oxford University Press, New York
-
P. Monk, Finite Element Methods for Maxwell's Equations. Numer. Math. Sci. Comput. Oxford University Press, New York (2003).
-
(2003)
Numer. Math. Sci. Comput.
-
-
Monk, P.1
-
39
-
-
69949108105
-
-
MUSIC-type imaging of a thin penetrable inclusion from its multi-static response matrix
-
W.-K. Park and D. Lesselier, MUSIC-type imaging of a thin penetrable inclusion from its multi-static response matrix. Inverse Problems 25 (2009) 075002.
-
(2009)
Inverse Problems
, vol.25
, pp. 075002
-
-
Park, W.-K.1
Lesselier, D.2
-
42
-
-
0043065359
-
-
Numerical methods for locating small dielectric inhomogeneities
-
D. Volkov, Numerical methods for locating small dielectric inhomogeneities. Wave Motion 38 (2003) 189-206.
-
(2003)
Wave Motion
, vol.38
, pp. 189-206
-
-
Volkov, D.1
-
43
-
-
0019691827
-
-
Regularity theorems for Maxwell's equations
-
C. Weber, Regularity theorems for Maxwell's equations. Math. Methods Appl. Sci. 3 (1981) 523-536.
-
(1981)
Math. Methods Appl. Sci.
, vol.3
, pp. 523-536
-
-
Weber, C.1
|