-
2
-
-
84972834699
-
Stable determination of conductivity by boundary measurements
-
Alessandrini G. 1988 Stable determination of conductivity by boundary measurements Appl. Anal 27 153-72.
-
(1988)
Appl. Anal
, vol.27
, pp. 153-172
-
-
Alessandrini, G.1
-
3
-
-
84971151488
-
Stable determination of a crack from boundary measurements
-
Alessandrini G. 1993 Stable determination of a crack from boundary measurements Proc. R. Soc. Edin. A 127 497-516.
-
(1993)
Proc. R. Soc. Edin. A
, vol.127
, pp. 497-516
-
-
Alessandrini, G.1
-
4
-
-
0001464670
-
Examples of instability in inverse boundary-value problems
-
Alessandrini G. 1997 Examples of instability in inverse boudary-value problems Inverse Problems 13 887-97.
-
(1997)
Inverse Problems
, vol.13
, pp. 887-897
-
-
Alessandrini, G.1
-
5
-
-
0002040402
-
Stability in crack determination from electrostatic measurements at the boundary-a numerical investigation
-
Alessandrini G., Beretta E., Santosa F. and Vessella S. 1995 Stability in crack determination from electrostatic measurements at the boundary-a numerical investigation Inverse Problems 11 L17-24.
-
(1995)
Inverse Problems
, vol.11
-
-
Alessandrini, G.1
Beretta, E.2
Santosa, F.3
Vessella, S.4
-
6
-
-
0032622871
-
Stable determination of a crack in a planar inhomogeneous conductor
-
Alessandrini G. and Rondi L. 1998 Stable determination of a crack in a planar inhomogeneous conductor SIAM J. Math. Anal. 30 326-40.
-
(1998)
SIAM J. Math. Anal.
, vol.30
, pp. 326-340
-
-
Alessandrini, G.1
Rondi, L.2
-
7
-
-
0000026975
-
Stability and resolution analysis of a linearized problem in electrical impedance tomography
-
Allers A. and Santosa F. 1991 Stability and resolution analysis of a linearized problem in electrical impedance tomography Inverse Problems 7 515-33.
-
(1991)
Inverse Problems
, vol.7
, pp. 515-533
-
-
Allers, A.1
Santosa, F.2
-
8
-
-
0035362767
-
Grid refinement and scaling for distributed parameter estimation problems
-
Ascher U.M. and Haber E. 2001 Grid refinement and scaling for distributed parameter estimation problems Inverse Problems 17 571-90.
-
(2001)
Inverse Problems
, vol.17
, pp. 571-590
-
-
Ascher, U.M.1
Haber, E.2
-
9
-
-
0001581299
-
Application of the difference Gaussian rules to solution of hyperbolic problems
-
Asvadurov S., Druskin V. and Knizhnerman L. 2000 Application of the difference Gaussian rules to solution of hyperbolic problems J. Comput. Phys. 158 116-35.
-
(2000)
J. Comput. Phys.
, vol.158
, pp. 116-135
-
-
Asvadurov, S.1
Druskin, V.2
Knizhnerman, L.3
-
11
-
-
0001034522
-
Recent developments in applied potential tomography-apt
-
S.L. Bacharach (Amsterdam: Nijhoff)
-
Barber D. and Brown B. 1986 Recent developments in applied potential tomography-apt Information Processing in Medical Imaging ed S.L. Bacharach (Amsterdam: Nijhoff) pp 106-21.
-
(1986)
Information Processing in Medical Imaging
, pp. 106-121
-
-
Barber, D.1
Brown, B.2
-
12
-
-
0017517495
-
Thermal or electrical conduction through a granular material
-
Batchelor G.K. and O'Brien R.W. 1977 Thermal or electrical conduction through a granular material Proc. R. Soc. A 355 313-33.
-
(1977)
Proc. R. Soc. A
, vol.355
, pp. 313-333
-
-
Batchelor, G.K.1
O'Brien, R.W.2
-
14
-
-
0030167925
-
Integral geometry in hyperbolic spaces and electrical impedance tomography
-
Berenstein C.A. and Casadio Tarabusi E. 1996 Integral geometry in hyperbolic spaces and electrical impedance tomography SIAM J. Appl. Math. 56 755-64.
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 755-764
-
-
Berenstein, C.A.1
Casadio Tarabusi, E.2
-
15
-
-
0027647632
-
Hierarchies of Stieljes functions and their applications to the calculation of bounds for the dielectric constant of a two component composite medium
-
Bergman D.J. 1993 Hierarchies of Stieljes functions and their applications to the calculation of bounds for the dielectric constant of a two component composite medium SIAM J. Appl. Math. 53 915-30.
-
(1993)
SIAM J. Appl. Math.
, vol.53
, pp. 915-930
-
-
Bergman, D.J.1
-
16
-
-
0038651717
-
Network approximation in the limit of small interparticle distance of the effective properties of a high-contrast random dispersed composite
-
Berlyand L. and Kolpakov A. 2001 Network approximation in the limit of small interparticle distance of the effective properties of a high-contrast random dispersed composite Arch. Ration. Mech. Anal. 159 179-227.
-
(2001)
Arch. Ration. Mech. Anal.
, vol.159
, pp. 179-227
-
-
Berlyand, L.1
Kolpakov, A.2
-
17
-
-
0025846278
-
Convexity properties of inverse problems with variational constraints
-
Berryman J.G. 1991 Convexity properties of inverse problems with variational constraints J. Franklin Institute 328 1-13.
-
(1991)
J. Franklin Institute
, vol.328
, pp. 1-13
-
-
Berryman, J.G.1
-
18
-
-
0000781598
-
Variational constraints for electrical impedance tomography
-
Berryman J.G. and Kohn R.V. 1990 Variational constraints for electrical impedance tomography Phys. Rev. Lett. 65 325-8.
-
(1990)
Phys. Rev. Lett.
, vol.65
, pp. 325-328
-
-
Berryman, J.G.1
Kohn, R.V.2
-
19
-
-
84990556358
-
The inversion problem and applications of the generalized
-
Beyikin G. 1984 The inversion problem and applications of the generalized Radon transform Commun. Pure Appl. Math. 37 580-99.
-
(1984)
Radon transform Commun. Pure Appl. Math.
, vol.37
, pp. 580-599
-
-
Beyikin, G.1
-
20
-
-
0034376968
-
An elliptic regularity results for a composite medium with 'touching' fibers of circular cross-section
-
Bonnetier E. and Vogelius M. 2000 An elliptic regularity results for a composite medium with 'touching' fibers of circular cross-section SIAM J. Math. Anal. 93 651-77.
-
(2000)
SIAM J. Math. Anal.
, vol.93
, pp. 651-677
-
-
Bonnetier, E.1
Vogelius, M.2
-
21
-
-
0032201839
-
Asymptotic analysis of quasi-static transport in high contrast conductive media
-
Borcea L. 1999 Asymptotic analysis of quasi-static transport in high contrast conductive media SIAM J. Appl. Math. 59 597-635.
-
(1999)
SIAM J. Appl. Math.
, vol.59
, pp. 597-635
-
-
Borcea, L.1
-
22
-
-
0035305817
-
A nonlinear multigrid for imaging electrical conductivity and permittivity at low frequency
-
Borcea L. 2001 A nonlinear multigrid for imaging electrical conductivity and permittivity at low frequency Inverse Problems 17 329-59.
-
(2001)
Inverse Problems
, vol.17
, pp. 329-359
-
-
Borcea, L.1
-
24
-
-
0000354494
-
Matching pursuit for imaging high contrast conductive media
-
Borcea L., Berryman J.G. and Papanicolaou G.C. 1999 Matching pursuit for imaging high contrast conductive media Inverse Problems 15 811-49.
-
(1999)
Inverse Problems
, vol.15
, pp. 811-849
-
-
Borcea, L.1
Berryman, J.G.2
Papanicolaou, G.C.3
-
25
-
-
0036684748
-
Optimal finite difference grids for direct and inverse Sturm-Liouville problems
-
Borcea L. and Druskin V. 2002 Optimal finite difference grids for direct and inverse Sturm-Liouville problems Inverse Problems 18 1247-79.
-
(2002)
Inverse Problems
, vol.18
, pp. 1247-1279
-
-
Borcea, L.1
Druskin, V.2
-
26
-
-
0012094898
-
A variationally constrained numerical solution of the electrical impedance tomography problem
-
Preprint (to be submitted)
-
Borcea L., Gray G. and Zhang Y. 2002 A variationally constrained numerical solution of the electrical impedance tomography problem Preprint (Inverse Problems to be submitted).
-
(2002)
Inverse Problems
-
-
Borcea, L.1
Gray, G.2
Zhang, Y.3
-
27
-
-
0032046983
-
Network approximation for transport properties of high contrast materials
-
Borcea L. and Papanicolaou G.C. 1998 Network approximation for transport properties of high contrast materials SIAM J. Appl. Math. 58 501-39.
-
(1998)
SIAM J. Appl. Math.
, vol.58
, pp. 501-539
-
-
Borcea, L.1
Papanicolaou, G.C.2
-
28
-
-
0003197742
-
Low frequency electromagnetic fields in high contrast media
-
ed D. Colton, H.W. Engl, A. Louis, J.R. McLaughlin and W. Rundell (New York: Springer)
-
Borcea L. and Papanicolaou G.C. 2000 Low frequency electromagnetic fields in high contrast media Surveys on Solution Methods for Inverse Problems ed D. Colton, H.W. Engl, A. Louis, J.R. McLaughlin and W. Rundell (New York: Springer) pp 195-233.
-
(2000)
Surveys on Solution Methods for Inverse Problems
, pp. 195-233
-
-
Borcea, L.1
Papanicolaou, G.C.2
-
29
-
-
0030548099
-
Global uniqueness in the impedance imaging problem for less regular conductivities
-
Brown R.M. 1996 Global uniqueness in the impedance imaging problem for less regular conductivities SIAM J. Math. Anal. 27 1049-56.
-
(1996)
SIAM J. Math. Anal.
, vol.27
, pp. 1049-1056
-
-
Brown, R.M.1
-
30
-
-
0001659228
-
Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
-
Brown R.M. and Uhlmann G. 1997 Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions Commun. Part. Diff. Eqns 22 1009-27.
-
(1997)
Commun. Part. Diff. Eqns
, vol.22
, pp. 1009-1027
-
-
Brown, R.M.1
Uhlmann, G.2
-
31
-
-
0000252505
-
Numerical implementation of two noniterative methods for locating inclusions by impedance tomography
-
Brühl M. and Hanke M. 2000 Numerical implementation of two noniterative methods for locating inclusions by impedance tomography Inverse Problems 16 1029-42.
-
(2000)
Inverse Problems
, vol.16
, pp. 1029-1042
-
-
Brühl, M.1
Hanke, M.2
-
34
-
-
0000932785
-
Identification of conductivity imperfections of small diameter by boundary measurements, continuous dependence and computational reconstruction
-
Cedio-Fengya D.J., Moskow S. and Vogelius M.S. 1998 Identification of conductivity imperfections of small diameter by boundary measurements, continuous dependence and computational reconstruction Inverse Problems 14 553-95.
-
(1998)
Inverse Problems
, vol.14
, pp. 553-595
-
-
Cedio-Fengya, D.J.1
Moskow, S.2
Vogelius, M.S.3
-
35
-
-
0033295350
-
A nonlinear primal-dual method for total variation-based image restoration
-
Chan T., Golub G.H. and Mulet P. 1999 A nonlinear primal-dual method for total variation-based image restoration SIAM J. Sci. Comput. 20 1964-77.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 1964-1977
-
-
Chan, T.1
Golub, G.H.2
Mulet, P.3
-
36
-
-
0012043641
-
Regularization in state space
-
Chavent G. and Kunisch K. 1993 Regularization in state space J. Numer. Anal. 27 535-64.
-
(1993)
J. Numer. Anal.
, vol.27
, pp. 535-564
-
-
Chavent, G.1
Kunisch, K.2
-
37
-
-
0035419161
-
The linear sampling method and the music algorithm
-
Cheney M. 2001 The linear sampling method and the music algorithm Inverse Problems 17 591-5.
-
(2001)
Inverse Problems
, vol.17
, pp. 591-595
-
-
Cheney, M.1
-
40
-
-
21344488707
-
Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli
-
Cherkaev A.V. and Gibiansley L.V. 1994 Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli J. Math. Phys. 35 127-45.
-
(1994)
J. Math. Phys.
, vol.35
, pp. 127-145
-
-
Cherkaev, A.V.1
Gibiansley, L.V.2
-
41
-
-
0035420871
-
Inverse homogenization for evaluation of effective properties of a mixture
-
Cherkaeva E. 2001 Inverse homogenization for evaluation of effective properties of a mixture Inverse Problems 17 1203-18.
-
(2001)
Inverse Problems
, vol.17
, pp. 1203-1218
-
-
Cherkaeva, E.1
-
42
-
-
0000369988
-
Inverse conductivity problem for noisy measurements
-
Cherkaeva E. and Tripp A. 1996 Inverse conductivity problem for noisy measurements Inverse Problems 12 869-83.
-
(1996)
Inverse Problems
, vol.12
, pp. 869-883
-
-
Cherkaeva, E.1
Tripp, A.2
-
43
-
-
85095826310
-
Structured inverse eigenvalue problems
-
Chu M.T. and Golub G.H. 2001 Structured inverse eigenvalue problems Acta Numer. 1-70.
-
(2001)
Acta Numer.
, pp. 1-70
-
-
Chu, M.T.1
Golub, G.H.2
-
46
-
-
0025448414
-
Determining the resistors in a network
-
Curtis E.B. and Morrow J.A. 1990 Determining the resistors in a network SIAM J. Appl. Math. 50 931-41.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 931-941
-
-
Curtis, E.B.1
Morrow, J.A.2
-
50
-
-
84949567676
-
The time reversal technique re-interpreted: Subspace based signal processing for multi-static target location
-
Cambridge, MA
-
Hanoch L.-A. and Devaney A.J. 2000 The time reversal technique re-interpreted: subspace based signal processing for multi-static target location IEEE Sensor Array and Multichannel Signal Processing Workshop (Cambridge, MA) pp 509-13.
-
(2000)
IEEE Sensor Array and Multichannel Signal Processing Workshop
, pp. 509-513
-
-
Hanoch, L.-A.1
Devaney, A.J.2
-
51
-
-
0019728229
-
Analysis of electrical conductivity imaging
-
Dines K.A. and Lytle R.J. 1981 Analysis of electrical conductivity imaging Geophysics 46 1025-36.
-
(1981)
Geophysics
, vol.46
, pp. 1025-1036
-
-
Dines, K.A.1
Lytle, R.J.2
-
53
-
-
0026841764
-
Convergence of a reconstruction method for the inverse conductivity problem
-
Dobson D.C. 1992 Convergence of a reconstruction method for the inverse conductivity problem SIAM J. Appl. Math. 52 442-58.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, pp. 442-458
-
-
Dobson, D.C.1
-
54
-
-
0002912660
-
Estimates on resolution and stabilization for the linearized inverse conductivity problem
-
Dobson D.C. 1992 Estimates on resolution and stabilization for the linearized inverse conductivity problem Inverse Problems 8 71-81.
-
(1992)
Inverse Problems
, vol.8
, pp. 71-81
-
-
Dobson, D.C.1
-
56
-
-
0036538319
-
Sensitivity analysis of a nonlinear inversion method for 3d electromagnetic imaging in anisotropic media
-
Dorn O., Bertete-Aguirre H., Berryman J.G. and Papanicolaou G.C. 2002 Sensitivity analysis of a nonlinear inversion method for 3d electromagnetic imaging in anisotropic media Inverse Problems 18 285-317.
-
(2002)
Inverse Problems
, vol.18
, pp. 285-317
-
-
Dorn, O.1
Bertete-Aguirre, H.2
Berryman, J.G.3
Papanicolaou, G.C.4
-
57
-
-
0034292566
-
A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
-
Dorn O., Miller E.L. and Rappaport C.M. 2000 A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets Inverse Problems 16 1118-56.
-
(2000)
Inverse Problems
, vol.16
, pp. 1118-1156
-
-
Dorn, O.1
Miller, E.L.2
Rappaport, C.M.3
-
58
-
-
0000968544
-
The unique solution of the inverse problem of electrical surveying and electrical well-logging for piecewise-continuous conductivity
-
Druskin V. 1982 The unique solution of the inverse problem of electrical surveying and electrical well-logging for piecewise-continuous conductivity Izv. Earth Phys. 18 51-3.
-
(1982)
Izv. Earth Phys.
, vol.18
, pp. 51-53
-
-
Druskin, V.1
-
59
-
-
0012100002
-
On uniqueness of the determination of the three-dimensional underground structures from surface measurements with variously positioned steady-state or monochromatic field sources
-
English transl. (Washington, DC: American Geophysical Union)
-
Druskin V. 1985 On uniqueness of the determination of the three-dimensional underground structures from surface measurements with variously positioned steady-state or monochromatic field sources Sov. Phys.-Solid Earth 21 210-4 (English transl. (Washington, DC: American Geophysical Union)).
-
(1985)
Sov. Phys.-Solid Earth
, vol.21
, pp. 210-2104
-
-
Druskin, V.1
-
60
-
-
0000279344
-
Gaussian spectral rules for second order finite-difference schemes. mathematical journey through analysis, matrix theory and scientific computation
-
Druskin V. and Knizherman L. 2000 Gaussian spectral rules for second order finite-difference schemes. mathematical journey through analysis, matrix theory and scientific computation Numer. Algorithms 25 139-59.
-
(2000)
Numer. Algorithms
, vol.25
, pp. 139-159
-
-
Druskin, V.1
Knizherman, L.2
-
61
-
-
0000252706
-
Gaussian spectral rules for three-point second differences: I. A two-point positive definite problem in a semiinfinite domain
-
Druskin V. and Knizhnerman L. 2000 Gaussian spectral rules for three-point second differences: I. A two-point positive definite problem in a semiinfinite domain SIAM J. Numer. Anal. 37 403-22.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 403-422
-
-
Druskin, V.1
Knizhnerman, L.2
-
62
-
-
0036333641
-
Three-point finite difference schemes. Padé and the spectral Galerkin method. I. One-sided impedance approximation
-
Druskin V. and Moskow S. 2002 Three-point finite difference schemes. Padé and the spectral Galerkin method. I. One-sided impedance approximation J. Math. Comput. 239 995-1019.
-
(2002)
J. Math. Comput.
, vol.239
, pp. 995-1019
-
-
Druskin, V.1
Moskow, S.2
-
63
-
-
0012073739
-
The application of electric current computed tomography to defect imaging in metals
-
ed D.O. Thompson and D.E. Chimenti (New York: Plenum)
-
Eggleston M.R., Schwabe R.J., Isaacson D. and Coffin L.F. 1989 The application of electric current computed tomography to defect imaging in metals Review of Progress in Quantitative NDE ed D.O. Thompson and D.E. Chimenti (New York: Plenum).
-
(1989)
Review of Progress in Quantitative NDE
-
-
Eggleston, M.R.1
Schwabe, R.J.2
Isaacson, D.3
Coffin, L.F.4
-
66
-
-
36149030945
-
Convergence rates for Tikhonov regularization of nonlinear ill-posed problems
-
Engl H.W., Kunisch K. and Neubauer A 1989 Convergence rates for Tikhonov regularization of nonlinear ill-posed problems Inverse Problems 5 523-40.
-
(1989)
Inverse Problems
, vol.5
, pp. 523-540
-
-
Engl, H.W.1
Kunisch, K.2
Neubauer, A.3
-
67
-
-
0028416333
-
Convection enhanced diffusion for periodic flows
-
Fannjiang A. and Papanicolaou G.C. 1994 Convection enhanced diffusion for periodic flows SIAM J. Appl. Math. 54 333-408.
-
(1994)
SIAM J. Appl. Math.
, vol.54
, pp. 333-408
-
-
Fannjiang, A.1
Papanicolaou, G.C.2
-
69
-
-
0000131033
-
Recovering a complex coefficient in a planar domain from the Dirichlet-to-Neumann map
-
Francini E. 2000 Recovering a complex coefficient in a planar domain from the Dirichlet-to-Neumann map Inverse Problems 16 107-19.
-
(2000)
Inverse Problems
, vol.16
, pp. 107-119
-
-
Francini, E.1
-
71
-
-
0000335616
-
Determining cracks by boundary measurements
-
Friedman A. and Vogelius M. 1989 Determining cracks by boundary measurements Indiana Univ. Math. J. 3 527-56.
-
(1989)
Indiana Univ. Math. J.
, vol.3
, pp. 527-556
-
-
Friedman, A.1
Vogelius, M.2
-
73
-
-
0001611879
-
Bounds on effective parameters of heterogeneous media by analytic continuation
-
Golden K. and Papanicolaou G. 1983 Bounds on effective parameters of heterogeneous media by analytic continuation Commun. Math. Phys. 90 473-91.
-
(1983)
Commun. Math. Phys.
, vol.90
, pp. 473-491
-
-
Golden, K.1
Papanicolaou, G.2
-
74
-
-
0012037610
-
A variationally constrained numerical solution of the electrical impedance tomography problem
-
PhD Thesis, Technical Report 02-02 Rice University
-
Gray G. 2002 A variationally constrained numerical solution of the electrical impedance tomography problem Computational and Applied Mathematics PhD Thesis, Technical Report 02-02 Rice University.
-
(2002)
Computational and Applied Mathematics
-
-
Gray, G.1
-
76
-
-
0002596150
-
Diffuse tomography: Computational aspects of the isotropic case
-
Grünbaum A. and Zubelli J.P. 1992 Diffuse tomography: computational aspects of the isotropic case Inverse Problems 8 421-33.
-
(1992)
Inverse Problems
, vol.8
, pp. 421-433
-
-
Grünbaum, A.1
Zubelli, J.P.2
-
77
-
-
0035679933
-
Fast finite volume simulation of 3d electromagnetic problems with highly discontinuous coefficients
-
Haber E. and Ascher U. 2000 Fast finite volume simulation of 3d electromagnetic problems with highly discontinuous coefficients SIAM J. Sci. Comput. 22 1943-61.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1943-1961
-
-
Haber, E.1
Ascher, U.2
-
78
-
-
0035665003
-
Preconditioned all-at-once methods for large, sparse parameter estimation problems
-
Haber E. and Ascher U. 2001 Preconditioned all-at-once methods for large, sparse parameter estimation problems Inverse Problems 17 1847-64.
-
(2001)
Inverse Problems
, vol.17
, pp. 1847-1864
-
-
Haber, E.1
Ascher, U.2
-
79
-
-
0000183429
-
On optimization techniques for solving nonlinear inverse problems
-
Haber E., Ascher U. and Oldenburg D. 2000 On optimization techniques for solving nonlinear inverse problems Inverse Problems 16 1263-80.
-
(2000)
Inverse Problems
, vol.16
, pp. 1263-1280
-
-
Haber, E.1
Ascher, U.2
Oldenburg, D.3
-
81
-
-
0024736296
-
Remarks on percolations and transport in networks with a wide range of bond strengths
-
Halperin B.I. 1989 Remarks on percolations and transport in networks with a wide range of bond strengths Physica D 38 179-83.
-
(1989)
Physica D
, vol.38
, pp. 179-183
-
-
Halperin, B.I.1
-
82
-
-
0031275314
-
Regularizing properties of a truncated Newton-CG algorithm for nonlinear inverse problems
-
Hanke M. 1997 Regularizing properties of a truncated Newton-CG algorithm for nonlinear inverse problems Numer Funct. Anal. Optim. 18 971-93.
-
(1997)
Numer Funct. Anal. Optim.
, vol.18
, pp. 971-993
-
-
Hanke, M.1
-
85
-
-
0000157718
-
Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements
-
Ikehata M. and Siltanen S. 2000 Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements Inverse Problems 16 1043-52.
-
(2000)
Inverse Problems
, vol.16
, pp. 1043-1052
-
-
Ikehata, M.1
Siltanen, S.2
-
86
-
-
0034347536
-
Discrete and continuous Dirichlet-to-Neumann maps in the layered case
-
Ingerman D. 2000 Discrete and continuous Dirichlet-to-Neumann maps in the layered case SIAM J. Math. Anal. 31 1214-34.
-
(2000)
SIAM J. Math. Anal.
, vol.31
, pp. 1214-1234
-
-
Ingerman, D.1
-
87
-
-
0034408940
-
Optimal finite-difference grids and rational approximations of the square root. I. Elliptic problems
-
Ingerman D., Druskin V. and Knizhnerman L. 2000 Optimal finite-difference grids and rational approximations of the square root. I. Elliptic problems Commun. Pure Appl. Math. 53 1039-66.
-
(2000)
Commun. Pure Appl. Math.
, vol.53
, pp. 1039-1066
-
-
Ingerman, D.1
Druskin, V.2
Knizhnerman, L.3
-
88
-
-
0022734022
-
Distinguishability of conductivities by electric current computed tomography
-
Isaacson D. 1986 Distinguishability of conductivities by electric current computed tomography IEEE Trans. Med. Imag. 5 91-5.
-
(1986)
IEEE Trans. Med. Imag.
, vol.5
, pp. 91-95
-
-
Isaacson, D.1
-
89
-
-
0003323532
-
Current problems in impedance imaging
-
ed D. Colton, R. Ewing and W. Rundell (Philadelphia, PA: SIAM)
-
Isaacson D. and Cheney M. 1990 Current problems in impedance imaging Inverse Problems in Partial Differential Equations ed D. Colton, R. Ewing and W. Rundell (Philadelphia, PA: SIAM) pp 141-9.
-
(1990)
Inverse Problems in Partial Differential Equations
, pp. 141-149
-
-
Isaacson, D.1
Cheney, M.2
-
90
-
-
0026374796
-
Effects of measurement precision and finite number of electrodes on linear impedance imaging algorithms
-
Isaacson D. and Cheney M. 1991 Effects of measurement precision and finite number of electrodes on linear impedance imaging algorithms SIAM J. Appl. Math. 1705-31.
-
(1991)
SIAM J. Appl. Math.
, pp. 1705-1731
-
-
Isaacson, D.1
Cheney, M.2
-
91
-
-
84966233626
-
Comment on Calderón's paper: On an inverse boundary value problem
-
Isaacson D. and Isaacson E. 1989 Comment on Calderón's paper: on an inverse boundary value problem Math. Comput. 52 553-9.
-
(1989)
Math. Comput.
, vol.52
, pp. 553-559
-
-
Isaacson, D.1
Isaacson, E.2
-
92
-
-
0040817437
-
Uniqueness and stability in multi-dimensional inverse problems
-
Isakov V. 1993 Uniqueness and stability in multi-dimensional inverse problems Inverse Problems 9 579-621.
-
(1993)
Inverse Problems
, vol.9
, pp. 579-621
-
-
Isakov, V.1
-
94
-
-
0035473295
-
Level-set function approach to an inverse interface problem
-
Ito K., Kunisch K. and Li Z. 2001 Level-set function approach to an inverse interface problem Inverse Problems 17 1225-42.
-
(2001)
Inverse Problems
, vol.17
, pp. 1225-1242
-
-
Ito, K.1
Kunisch, K.2
Li, Z.3
-
96
-
-
0034292512
-
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
-
Kaipio J.P., Kolehmainen V., Somersalo E. and Vauhkonen M. 2000 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography Inverse Problems 16 1487-522.
-
(2000)
Inverse Problems
, vol.16
, pp. 1487-1522
-
-
Kaipio, J.P.1
Kolehmainen, V.2
Somersalo, E.3
Vauhkonen, M.4
-
98
-
-
0035419872
-
On the regularizing properties of a full multigrid method for ill-posed problems
-
Kaltenbacher B. 2001 On the regularizing properties of a full multigrid method for ill-posed problems Inverse Problems 17 767-88.
-
(2001)
Inverse Problems
, vol.17
, pp. 767-788
-
-
Kaltenbacher, B.1
-
100
-
-
36849139969
-
Conductivity of a medium containing a dense array of perfectly conducting spheres or cylinders or nonconducting cylinders
-
Keller J.B. 1963 Conductivity of a medium containing a dense array of perfectly conducting spheres or cylinders or nonconducting cylinders J. Math. Phys. 34 991-3.
-
(1963)
J. Math. Phys.
, vol.34
, pp. 991-993
-
-
Keller, J.B.1
-
101
-
-
0001514987
-
Effective conductivity of periodic composites composed of two very unequal conductors
-
Keller J.B. 1987 Effective conductivity of periodic composites composed of two very unequal conductors J. Math. Phys. 28 2516-20.
-
(1987)
J. Math. Phys.
, vol.28
, pp. 2516-2520
-
-
Keller, J.B.1
-
102
-
-
0001224287
-
Multilevel algorithms for ill-posed problems
-
King J.T. 1992 Multilevel algorithms for ill-posed problems Numer. Math. 61 313-34.
-
(1992)
Numer. Math.
, vol.61
, pp. 313-334
-
-
King, J.T.1
-
103
-
-
0000714376
-
Characterization of the shape of the scattering obstacle using the spectral data of the far field operator
-
Kirsch A. 1998 Characterization of the shape of the scattering obstacle using the spectral data of the far field operator Inverse Problems 14 1489-512.
-
(1998)
Inverse Problems
, vol.14
, pp. 1489-1512
-
-
Kirsch, A.1
-
104
-
-
0000430260
-
Numerical implementation of a variational method for electrical impedance tomography
-
Kohn R.V. and McKenney A. 1990 Numerical implementation of a variational method for electrical impedance tomography Inverse Problems 6 389-414.
-
(1990)
Inverse Problems
, vol.6
, pp. 389-414
-
-
Kohn, R.V.1
McKenney, A.2
-
105
-
-
84990583776
-
Determining conductivity-by boundary measurements
-
Kohn R.V. and Vogelius M. 1984 Determining conductivity-by boundary measurements Commun. Pure Appl. Math. 37 113-23.
-
(1984)
Commun. Pure Appl. Math.
, vol.37
, pp. 113-123
-
-
Kohn, R.V.1
Vogelius, M.2
-
106
-
-
0021580594
-
Identification of an unknown conductivity by means of measurements at the boundary
-
ed D. McLaughlin (Providence, RI: American Mathematical Society)
-
Kohn R.V. and Vogelius M. 1984 Identification of an unknown conductivity by means of measurements at the boundary Inverse Problems (SIAM-AMS Proc. No. 14) ed D. McLaughlin (Providence, RI: American Mathematical Society) pp 113-23.
-
(1984)
Inverse Problems (SIAM-AMS Proc.)
, vol.14
, pp. 113-123
-
-
Kohn, R.V.1
Vogelius, M.2
-
107
-
-
84990557216
-
Determining conductivity by boundary measurements ii. interior results
-
Kohn R.V. and Vogelius M. 1985 Determining conductivity by boundary measurements ii. interior results Commun. Pure Appl. Math. 38 643-67.
-
(1985)
Commun. Pure Appl. Math.
, vol.38
, pp. 643-667
-
-
Kohn, R.V.1
Vogelius, M.2
-
108
-
-
84990623569
-
Relaxation of a variational method for impedance computed tomography
-
Kohn R.V. and Vogelius M. 1987 Relaxation of a variational method for impedance computed tomography Commun. Pure Appl. Math. XL 745-77.
-
(1987)
Commun. Pure Appl. Math.
, vol.40
, pp. 745-777
-
-
Kohn, R.V.1
Vogelius, M.2
-
109
-
-
0020138618
-
Creeping flow in two-dimensional networks
-
Koplik J. 1982 Creeping flow in two-dimensional networks J. Fluid. Mech. 119 219-47.
-
(1982)
J. Fluid. Mech.
, vol.119
, pp. 219-247
-
-
Koplik, J.1
-
110
-
-
84956096809
-
Geometric aspects of averaging
-
Kozlov S.M. 1989 Geometric aspects of averaging Russ. Math. Surv. 44 91-144.
-
(1989)
Russ. Math. Surv.
, vol.44
, pp. 91-144
-
-
Kozlov, S.M.1
-
111
-
-
84990609931
-
Determining anisotropic real-analytic conductivities by boundary measurements
-
Lee J. and Uhlmann G. 1989 Determining anisotropic real-analytic conductivities by boundary measurements Commun. Pure Appl. Math. 42 1087-112.
-
(1989)
Commun. Pure Appl. Math.
, vol.42
, pp. 1087-1112
-
-
Lee, J.1
Uhlmann, G.2
-
112
-
-
0034413375
-
Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
-
Li Yan Yan and Vogelius M. 2000 Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients Arch. Rational Mech. Anal. 153 91-151.
-
(2000)
Arch. Rational Mech. Anal.
, vol.153
, pp. 91-151
-
-
Li, Y.Y.1
Vogelius, M.2
-
113
-
-
0001461578
-
Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography
-
McCormick S.F. and Wade J.G. 1993 Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography Inverse Problems 9 697-713.
-
(1993)
Inverse Problems
, vol.9
, pp. 697-713
-
-
McCormick, S.F.1
Wade, J.G.2
-
114
-
-
36749115905
-
Bounds on the complex dielectric constant of a composite material
-
Milton G.W. 1980 Bounds on the complex dielectric constant of a composite material Appl. Phys. Lett. 37 300-2.
-
(1980)
Appl. Phys. Lett.
, vol.37
, pp. 300-302
-
-
Milton, G.W.1
-
117
-
-
0000426306
-
Reconstructions from boundary measurements
-
Nachman A.I. 1988 Reconstructions from boundary measurements Ann. Math. 128 531-76.
-
(1988)
Ann. Math.
, vol.128
, pp. 531-576
-
-
Nachman, A.I.1
-
118
-
-
0030550779
-
Global uniqueness for a two-dimensional inverse boundary problem
-
Nachman A.I. 1996 Global uniqueness for a two-dimensional inverse boundary problem Ann. Math. 143 71-96.
-
(1996)
Ann. Math.
, vol.143
, pp. 71-96
-
-
Nachman, A.I.1
-
120
-
-
0000653948
-
Level set methods for optimization problems involving geometry and constraints. i. frequencies of a two-density inhomogeneous drum
-
Osher S.J. and Santosa F. 2001 Level set methods for optimization problems involving geometry and constraints. i. frequencies of a two-density inhomogeneous drum J. Comput. Phys. 171 272-88.
-
(2001)
J. Comput. Phys.
, vol.171
, pp. 272-288
-
-
Osher, S.J.1
Santosa, F.2
-
121
-
-
84972545853
-
A statistical perspective on ill-posed inverse problems
-
O'Sullivan F. 1986 A statistical perspective on ill-posed inverse problems Stat. Sci. 1 502-27.
-
(1986)
Stat. Sci.
, vol.1
, pp. 502-527
-
-
O'Sullivan, F.1
-
123
-
-
0021627434
-
The inverse problem of resistivity sounding
-
Parker R.L. 1984 The inverse problem of resistivity sounding Geophysics 142 2143-58.
-
(1984)
Geophysics
, vol.142
, pp. 2143-2158
-
-
Parker, R.L.1
-
124
-
-
0001281743
-
Detection of leaks in underground storage tanks using electrical resistance methods
-
Ramirez A., Daily W., Binley B., LaBreque D. and Roelant D. 1996 Detection of leaks in underground storage tanks using electrical resistance methods J. Environ. Eng. Geophys. 1 189-203.
-
(1996)
J. Environ. Eng. Geophys.
, vol.1
, pp. 189-203
-
-
Ramirez, A.1
Daily, W.2
Binley, B.3
LaBreque, D.4
Roelant, D.5
-
125
-
-
0027510748
-
Monitoring an underground steam injection process using electrical resistance tomography
-
Ramirez A., Daily W., LaBreque D., Owen E. and Chesnut D. 1993 Monitoring an underground steam injection process using electrical resistance tomography Water Resources Res. 29 73-87.
-
(1993)
Water Resources Res.
, vol.29
, pp. 73-87
-
-
Ramirez, A.1
Daily, W.2
LaBreque, D.3
Owen, E.4
Chesnut, D.5
-
126
-
-
84996143735
-
A level-set approach for inverse problems involving obstacles
-
Santosa F. 1995.1996 A level-set approach for inverse problems involving obstacles ESAIM Controle Optim. Calc. Var 1 17-33.
-
(1995)
ESAIM Controle Optim. Calc. Var
, vol.1
, pp. 17-33
-
-
Santosa, F.1
-
127
-
-
0003003643
-
A method for imaging corrosion damage in thin plates from electrostatic data
-
Santosa F., Kaup P. and Vogelius M. 1996 A method for imaging corrosion damage in thin plates from electrostatic data Inverse Problems 12 279-93.
-
(1996)
Inverse Problems
, vol.12
, pp. 279-293
-
-
Santosa, F.1
Kaup, P.2
Vogelius, M.3
-
128
-
-
0025387295
-
A backprojection algorithm for electrical impedance imaging
-
Santosa F. and Vogelius M. 1990 A backprojection algorithm for electrical impedance imaging SIAM J. Appl. Math. 50 216-43.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 216-243
-
-
Santosa, F.1
Vogelius, M.2
-
129
-
-
0025725242
-
A computational algorithm for determining cracks from electrostatic boundary measurements
-
Santosa F. and Vogelius M. 1991 A computational algorithm for determining cracks from electrostatic boundary measurements Int. J. Eng. Sci. 29 917-38.
-
(1991)
Int. J. Eng. Sci.
, vol.29
, pp. 917-938
-
-
Santosa, F.1
Vogelius, M.2
-
130
-
-
0022683359
-
Multiple emitter location and signal parameter estimation
-
Schmidt R.O. 1986 Multiple emitter location and signal parameter estimation IEEE Trans. Antennas Prop. 34 276-80.
-
(1986)
IEEE Trans. Antennas Prop.
, vol.34
, pp. 276-280
-
-
Schmidt, R.O.1
-
131
-
-
0000107863
-
The conductivity of living tissues
-
Schwan H.P. and Kay C.F. 1957 The conductivity of living tissues Ann. NY Acad. Sci. 65 1007-13.
-
(1957)
Ann. NY Acad. Sci.
, vol.65
, pp. 1007-1013
-
-
Schwan, H.P.1
Kay, C.F.2
-
132
-
-
0242578236
-
An efficient finite-difference scheme for electromagnetic logging in 3-d anisotropic inhomogeneous media
-
submitted
-
Davydycheva S., Druskin V. and Habashy T. An efficient finite-difference scheme for electromagnetic logging in 3-d anisotropic inhomogeneous media Geophysics submitted.
-
Geophysics
-
-
Davydycheva, S.1
Druskin, V.2
Habashy, T.3
-
134
-
-
0000115945
-
An implementation of the reconstruction algorithm of A Nachman for the 2d inverse conductivity problem
-
Siltanen S., Mueller J. and Isaacson D. 2000 An implementation of the reconstruction algorithm of A Nachman for the 2d inverse conductivity problem Inverse Problems 16 681-99.
-
(2000)
Inverse Problems
, vol.16
, pp. 681-699
-
-
Siltanen, S.1
Mueller, J.2
Isaacson, D.3
-
135
-
-
0026907944
-
Existence and uniqueness for electrode models for electric current computed tomography
-
Somersalo E., Cheney M. and Isaacson D. 1992 Existence and uniqueness for electrode models for electric current computed tomography SIAM J. Appl. Math. 52 1023-40.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, pp. 1023-1040
-
-
Somersalo, E.1
Cheney, M.2
Isaacson, D.3
-
137
-
-
38249007884
-
A linearized inverse boundary value problem for Maxwell's equations
-
Somersalo E., Isaacson D. and Cheney M. 1992 A linearized inverse boundary value problem for Maxwell's equations J. Comput. Appl. Math. 42 123-36.
-
(1992)
J. Comput. Appl. Math.
, vol.42
, pp. 123-136
-
-
Somersalo, E.1
Isaacson, D.2
Cheney, M.3
-
138
-
-
0012094090
-
On an inverse boundary value problem in two dimensions
-
Sun Z. 1989 On an inverse boundary value problem in two dimensions Commun. Partial Diff. Eqns 14 1101-13.
-
(1989)
Commun. Partial Diff. Eqns
, vol.14
, pp. 1101-1113
-
-
Sun, Z.1
-
139
-
-
38249017934
-
The inverse conductivity problem in two dimensions
-
Sun Z. 1990 The inverse conductivity problem in two dimensions J. Diff. Eqns 87 227-55.
-
(1990)
J. Diff. Eqns
, vol.87
, pp. 227-255
-
-
Sun, Z.1
-
140
-
-
84974001727
-
Generic uniqueness for an inverse boundary value problem
-
Sun Z. and Uhlmann G. 1991 Generic uniqueness for an inverse boundary value problem Duke Math. J. 62 131-55.
-
(1991)
Duke Math. J.
, vol.62
, pp. 131-155
-
-
Sun, Z.1
Uhlmann, G.2
-
141
-
-
84990586454
-
An anisotropic inverse boundary value problem
-
Sylvester J. 1990 An anisotropic inverse boundary value problem Commum Pure Appl. Math. 43 201-32.
-
(1990)
Commum Pure Appl. Math.
, vol.43
, pp. 201-232
-
-
Sylvester, J.1
-
142
-
-
0000032419
-
A convergent layer stripping algorithm for radially symmetric impedance tomography problem
-
Sylvester J. 1992 A convergent layer stripping algorithm for radially symmetric impedance tomography problem Commun. Partial Diff. Eqns 17 1955-94.
-
(1992)
Commun. Partial Diff. Eqns
, vol.17
, pp. 1955-1994
-
-
Sylvester, J.1
-
143
-
-
84990623248
-
A uniqueness theorem for an inverse boundary value problem in electrical prospection
-
Sylvester J. and Uhlmann G. 1986 A uniqueness theorem for an inverse boundary value problem in electrical prospection Commun. Pure Appl. Math. 39 92-112.
-
(1986)
Commun. Pure Appl. Math.
, vol.39
, pp. 92-112
-
-
Sylvester, J.1
Uhlmann, G.2
-
144
-
-
0001110912
-
A global uniqueness theorem for an inverse boundary value problem
-
Sylvester J. and Uhlmann G. 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69.
-
(1987)
Ann. Math.
, vol.125
, pp. 153-169
-
-
Sylvester, J.1
Uhlmann, G.2
-
145
-
-
84990627147
-
Inverse boundary value problems at the boundary - Continuous dependence
-
Sylvester J. and Uhlmann G. 1988 Inverse boundary value problems at the boundary-continuous dependence Commun. Pure Appl. Math. XLI 197-219.
-
(1988)
Commun. Pure Appl. Math.
, vol.41
, pp. 197-219
-
-
Sylvester, J.1
Uhlmann, G.2
-
146
-
-
0001461425
-
Inverse problems in anisotropic media, inverse scattering and applications
-
Sylvester J. and Uhlmann G. 1991 inverse problems in anisotropic media, inverse scattering and applications Contemp. Math. 122 105-17.
-
(1991)
Contemp. Math.
, vol.122
, pp. 105-117
-
-
Sylvester, J.1
Uhlmann, G.2
-
149
-
-
0012073886
-
Inverse scattering in anisotropic media
-
ed D. Colton, H.W. Engl, A. Louis, J.R. McLaughlin and W. Rundell (New York: Springer)
-
Uhlmann G. 2000 Inverse scattering in anisotropic media Surveys on Solution Methods for Inverse Problems ed D. Colton, H.W. Engl, A. Louis, J.R. McLaughlin and W. Rundell (New York: Springer) pp 235-52.
-
(2000)
Surveys on Solution Methods for Inverse Problems
, pp. 235-252
-
-
Uhlmann, G.1
-
151
-
-
0022384590
-
Impedance-computed tomography algorithm and system
-
Wexler A., Fry B. and Neumann M. 1985 Impedance-computed tomography algorithm and system Appl. Opt. 24 3985-92.
-
(1985)
Appl. Opt.
, vol.24
, pp. 3985-3992
-
-
Wexler, A.1
Fry, B.2
Neumann, M.3
-
153
-
-
0023526306
-
Comparing reconstruction algorithms for electrical impedance tomography
-
Yorkey T.J., Webster J.G. and Tompkins W.J. 1987 Comparing reconstruction algorithms for electrical impedance tomography IEEE Trans. Biomed. Eng. 34 843-52.
-
(1987)
IEEE Trans. Biomed. Eng.
, vol.34
, pp. 843-852
-
-
Yorkey, T.J.1
Webster, J.G.2
Tompkins, W.J.3
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