-
1
-
-
30444450433
-
Calderón's inverse conductivity problem in the plane
-
K. Astala and L. Päivärinta, Calderón's inverse conductivity problem in the plane, Ann. of Math. (2), 163 (2006), 265-299.
-
(2006)
Ann. of Math
, vol.163
, Issue.2
, pp. 265-299
-
-
Astala, K.1
Päivärinta, L.2
-
2
-
-
36348940659
-
A Boundary Integral Equation for Calderón's Inverse Conductivity Problem
-
Collectanea Mathematica
-
K. Astala and L. Päivärinta, "A Boundary Integral Equation for Calderón's Inverse Conductivity Problem, " Proc. 7th Internat. Conference on Harmonic Analysis, Collectanea Mathematica, 2006.
-
(2006)
Proc. 7th Internat. Conference on Harmonic Analysis
-
-
Astala, K.1
Päivärinta, L.2
-
3
-
-
77955267034
-
Numerical computation of complex geometrical optics solutions to the conductivity equation
-
K. Astala, J. L. Mueller, L. Päivärinta and S. Siltanen, Numerical computation of complex geometrical optics solutions to the conductivity equation, Applied and Computational Harmonic Analysis, 29 (2010), 2-17.
-
(2010)
Applied and Computational Harmonic Analysis
, vol.29
, pp. 2-17
-
-
Astala, K.1
Mueller, J.L.2
Päivärinta, L.3
Siltanen, S.4
-
4
-
-
84883906715
-
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane
-
Princeton University Press, Princeton, NJ
-
K. Astala, T. Iwaniec and G. Martin, "Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane, " Princeton Mathematical Series, 48, Princeton University Press, Princeton, NJ, 2009.
-
(2009)
Princeton Mathematical Series
, vol.48
-
-
Astala, K.1
Iwaniec, T.2
Martin, G.3
-
6
-
-
78651379669
-
Direct numerical reconstruction of conductivities in three dimensions using scattering transforms
-
J. Bikowski, K. Knudsen and J. L. Mueller, Direct numerical reconstruction of conductivities in three dimensions using scattering transforms, Inverse Problems, 27 (2011), 19 pp.
-
(2011)
Inverse Problems
, vol.27
, pp. 19
-
-
Bikowski, J.1
Knudsen, K.2
Mueller, J.L.3
-
7
-
-
79957940855
-
Methods for Direct Image Reconstruction for EIT in Two and Three Dimensions
-
Hanover, New Hampshire, June 16 to 18
-
G. Boverman, D. Isaacson, T.-J. Kao, G. Saulnier and J. C. Newell, "Methods for Direct Image Reconstruction for EIT in Two and Three Dimensions, " Proceedings of the 2008 Electrical Impedance Tomography Conference at Dartmouth College, Hanover, New Hampshire, June 16 to 18, 2008.
-
(2008)
Proceedings of the 2008 Electrical Impedance Tomography Conference at Dartmouth College
-
-
Boverman, G.1
Isaacson, D.2
Kao, T.-J.3
Saulnier, G.4
Newell, J.C.5
-
8
-
-
0001659228
-
Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
-
R. M. Brown and G. Uhlmann, Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions, Comm. Partial Differential Equations, 22 (1997), 1009-1027.
-
(1997)
Comm. Partial Differential Equations
, vol.22
, pp. 1009-1027
-
-
Brown, R.M.1
Uhlmann, G.2
-
9
-
-
0002713385
-
On an inverse boundary value problem
-
in, Brasileira de Matemàtica, Rio de Janeiro
-
A. P. Calderón, On an inverse boundary value problem, in Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro, 1980), Soc. Brasileira de Matemàtica, Rio de Janeiro, (1980), 65-73.
-
(1980)
Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro, 1980), Soc
, pp. 65-73
-
-
Calderón, A.P.1
-
10
-
-
0002621641
-
Electrical impedance tomography
-
M. Cheney, D. Isaacson and J. C. Newell, Electrical impedance tomography, SIAM Review, 41 (1999), 85-101.
-
(1999)
SIAM Review
, vol.41
, pp. 85-101
-
-
Cheney, M.1
Isaacson, D.2
Newell, J.C.3
-
11
-
-
0026367233
-
A Phase Sensitive Voltmeter for a High-Speed, High-Precision Electrical Impedance Tomograph
-
R. D. Cook, G. J. Saulnier and J. C. Goble "A Phase Sensitive Voltmeter for a High-Speed, High-Precision Electrical Impedance Tomograph, " Proc. Annu. Int. Conf. IEEE Engineering in Medicine and Biology Soc., (1991), 22-23.
-
(1991)
Proc. Annu. Int. Conf. IEEE Engineering in Medicine and Biology Soc.
, pp. 22-23
-
-
Cook, R.D.1
Saulnier, G.J.2
Goble, J.C.3
-
12
-
-
0042582033
-
A fast algorithm to solve the Beltrami equation with applications to quasiconformal mappings
-
P. Daripa, A fast algorithm to solve the Beltrami equation with applications to quasiconformal mappings, Journal of Computational Physics, 106 (1993), 355-365.
-
(1993)
Journal of Computational Physics
, vol.106
, pp. 355-365
-
-
Daripa, P.1
-
13
-
-
75449106051
-
D-bar reconstructions of human chest and tank data using an improved approximation to the scattering transform
-
M. DeAngelo and J. L. Mueller, D-bar reconstructions of human chest and tank data using an improved approximation to the scattering transform, Physiological Measurement, 31 (2010), 221-232.
-
(2010)
Physiological Measurement
, vol.31
, pp. 221-232
-
-
DeAngelo, M.1
Mueller, J.L.2
-
16
-
-
3142723330
-
Reconstructions of chest phantoms by the D-bar method for electrical impedance tomography
-
D. Isaacson, J. L. Mueller, J. C. Newell and S. Siltanen, Reconstructions of chest phantoms by the D-bar method for electrical impedance tomography, IEEE Trans. Med. Im., 23 (2004), 821-828.
-
(2004)
IEEE Trans. Med. Im
, vol.23
, pp. 821-828
-
-
Isaacson, D.1
Mueller, J.L.2
Newell, J.C.3
Siltanen, S.4
-
17
-
-
33745160014
-
Imaging cardiac activity by the D-bar method for electrical impedance tomography
-
D. Isaacson, J. L. Mueller, J. C. Newell and S. Siltanen, Imaging cardiac activity by the D-bar method for electrical impedance tomography, Physiological Measurement, 27 (2006), S43-S50.
-
(2006)
Physiological Measurement
, vol.27
-
-
Isaacson, D.1
Mueller, J.L.2
Newell, J.C.3
Siltanen, S.4
-
18
-
-
1842644664
-
-
Ph.D. thesis, Department of Mathematical Sciences, Aalborg University, Denmark
-
K. Knudsen, "On the Inverse Conductivity Problem, " Ph.D. thesis, Department of Mathematical Sciences, Aalborg University, Denmark, 2002.
-
(2002)
On the Inverse Conductivity Problem
-
-
Knudsen, K.1
-
19
-
-
0038777528
-
A new direct method for reconstructing isotropic conductivities in the plane
-
K. Knudsen, A new direct method for reconstructing isotropic conductivities in the plane, Physiol. Meas., 24 (2003), 391-401.
-
(2003)
Physiol. Meas
, vol.24
, pp. 391-401
-
-
Knudsen, K.1
-
20
-
-
79951676713
-
Reconstructions of Piecewise Constant Conductivities by the D-Bar Method for Electrical Impedance Tomography
-
Vancouver, Journal of Physics: Conference Series
-
K. Knudsen, M. Lassas, J. L. Mueller and S. Siltanen, "Reconstructions of Piecewise Constant Conductivities by the D-Bar Method for Electrical Impedance Tomography, " Proceedings of the 4th AIP International Conference and the 1st Congress of the IPIA, Vancouver, Journal of Physics: Conference Series, 124, 2008.
-
(2008)
Proceedings of the 4th AIP International Conference and the 1st Congress of the IPIA
, pp. 124
-
-
Knudsen, K.1
Lassas, M.2
Mueller, J.L.3
Siltanen, S.4
-
21
-
-
34547282631
-
D-bar method for electrical impedance tomography with discontinuous conductivities
-
K. Knudsen, M. Lassas, J. L. Mueller and S. Siltanen, D-bar method for electrical impedance tomography with discontinuous conductivities, SIAM J. Appl. Math., 67 (2007), 893-913.
-
(2007)
SIAM J. Appl. Math
, vol.67
, pp. 893-913
-
-
Knudsen, K.1
Lassas, M.2
Mueller, J.L.3
Siltanen, S.4
-
22
-
-
73649113504
-
Regularized D-bar method for the inverse conductivity problem
-
K. Knudsen, M. Lassas, J. L. Mueller and S. Siltanen, Regularized D-bar method for the inverse conductivity problem, Inverse Problems and Imaging, 3 (2009), 599-624.
-
(2009)
Inverse Problems and Imaging
, vol.3
, pp. 599-624
-
-
Knudsen, K.1
Lassas, M.2
Mueller, J.L.3
Siltanen, S.4
-
23
-
-
2342566028
-
Numerical solution method for the dbar-equation in the plane
-
K. Knudsen, J. L. Mueller and S. Siltanen, Numerical solution method for the dbar-equation in the plane, J. Comp. Phys., 198 (2004), 500-517.
-
(2004)
J. Comp. Phys
, vol.198
, pp. 500-517
-
-
Knudsen, K.1
Mueller, J.L.2
Siltanen, S.3
-
24
-
-
1842683121
-
Reconstruction of less regular conductivities in the plane
-
K. Knudsen and A. Tamasan, Reconstruction of less regular conductivities in the plane, Comm. Partial Differential Equations, 29 (2004), 361-381.
-
(2004)
Comm. Partial Differential Equations
, vol.29
, pp. 361-381
-
-
Knudsen, K.1
Tamasan, A.2
-
25
-
-
0037505387
-
Direct reconstructions of conductivities from boundary mea-surements
-
J. L. Mueller and S. Siltanen, Direct reconstructions of conductivities from boundary mea-surements, SIAM J. Sci. Comp., 24 (2003), 1232-1266.
-
(2003)
SIAM J. Sci. Comp
, vol.24
, pp. 1232-1266
-
-
Mueller, J.L.1
Siltanen, S.2
-
26
-
-
0036591472
-
A direct reconstruction algorithm for electrical impedance tomography
-
J. L. Mueller, S. Siltanen and D. Isaacson, A direct reconstruction algorithm for electrical impedance tomography, IEEE Trans. Med. Im., 21 (2002), 555-559.
-
(2002)
IEEE Trans. Med. Im
, vol.21
, pp. 555-559
-
-
Mueller, J.L.1
Siltanen, S.2
Isaacson, D.3
-
27
-
-
34447107059
-
Reconstruction of conductive and insulating targets using the D-bar method on an elliptical domain
-
E. Murphy, J. L. Mueller and J. C. Newell, Reconstruction of conductive and insulating targets using the D-bar method on an elliptical domain, Physiol. Meas., 28 (2007), S101-S114.
-
(2007)
Physiol. Meas
, vol.28
-
-
Murphy, E.1
Mueller, J.L.2
Newell, J.C.3
-
28
-
-
0030550779
-
Global uniqueness for a two dimensional inverse boundary value problem
-
A. I. Nachman, Global uniqueness for a two dimensional inverse boundary value problem, Ann. of Math. (2), 143 (1996), 71-96.
-
(1996)
Ann. of Math
, vol.143
, Issue.2
, pp. 71-96
-
-
Nachman, A.I.1
-
29
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Y. Saad and M. H. Schultz, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 7 (1986), 856-869.
-
(1986)
SIAM J. Sci. Stat. Comput
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
30
-
-
0000115945
-
An implementation of the reconstruction algorithm of A. Nachman for the 2D inverse conductivity problem
-
(Erratum: Inverse problems, 17, 1561-1563)
-
S. Siltanen, J. Mueller and D. Isaacson, An implementation of the reconstruction algorithm of A. Nachman for the 2D inverse conductivity problem, Inverse Problems, 16 (2000), 681-699, (Erratum: Inverse problems, 17, 1561-1563).
-
(2000)
Inverse Problems
, vol.16
, pp. 681-699
-
-
Siltanen, S.1
Mueller, J.2
Isaacson, D.3
-
31
-
-
0038519398
-
Reconstruction of High Contrast 2-D Conductivities by the Algorithm of A. Nachman
-
In, (South Hadley, MA), Contemporary Mathematics, 278, Amer. Math. Soc., Providence, RI, 2001
-
S. Siltanen, J. Mueller and D. Isaacson, "Reconstruction of High Contrast 2-D Conductivities by the Algorithm of A. Nachman, " In "Radon Transforms and Tomography" (South Hadley, MA, 2000), 241-254, Contemporary Mathematics, 278, Amer. Math. Soc., Providence, RI, 2001.
-
(2000)
Radon Transforms and Tomography
, pp. 241-254
-
-
Siltanen, S.1
Mueller, J.2
Isaacson, D.3
-
33
-
-
0003552714
-
-
Prentice-Hall, Inc., Englewood Cliffs, NJ
-
G. Strang and G. Fix, "An Analysis of The Finite Element Method, " Prentice-Hall, Inc., Englewood Cliffs, NJ, 1973.
-
(1973)
An Analysis of The Finite Element Method
-
-
Strang, G.1
Fix, G.2
-
34
-
-
0037842986
-
Fast solvers of the Lippmann-Schwinger equation
-
in, (Newark, DE), Int. Soc. Anal. Appl. Comput., Kluwer Acad. Publ, Dordrecht, 2000
-
G. Vainikko, Fast solvers of the Lippmann-Schwinger equation, in "Direct and Inverse Problems of Mathematical Physics" (Newark, DE, 1997), 423-440, Int. Soc. Anal. Appl. Comput., 5, Kluwer Acad. Publ, Dordrecht, 2000.
-
(1997)
Direct and Inverse Problems of Mathematical Physics
, vol.5
, pp. 423-440
-
-
Vainikko, G.1
|