Keyword

inverse conductivity problem

Description: An inverse mathematical problem that seeks to recover a medium's electrical conductivity from boundary measurements of electrical potentials or currents.

Primary topic: Numerical methods in inverse problems (81%)

OpenAlex ID: keywords/inverse-conductivity-problem

NOSER: An algorithm for solving the inverse conductivity problem

1990 · M. Cheney, D. Isaacson, et al. · International Journal of Imaging Systems and Technology · 620

Determining conductivity by boundary measurements

1984 · Robert Kohn, Michael Vogelius · Communications on Pure and Applied Mathematics · 593

Reconstruction of Small Inhomogeneities from Boundary Measurements

2004 · Habib Ammari, Hyeonbae Kang · Lecture notes in mathematics · 559

Calderón’s inverse conductivity problem in the plane

2006 · Kari Astala, Lassi Païvärinta · Annals of Mathematics · 553

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Determining anisotropic real‐analytic conductivities by boundary measurements

1989 · John M. Lee, Gunther Uhlmann · Communications on Pure and Applied Mathematics · 390

Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory

2010 · Habib Ammari, Hyeonbae Kang · Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) · 333

Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions

1997 · Russell M. Brown, Russell M. Brown, et al. · Communications in Partial Differential Equations · 276

Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction

1998 · D J Cedio-Fengya, S Moskow, et al. · Inverse Problems · 239

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Numerical implementation of two noniterative methods for locating inclusions by impedance tomography

2000 · Martin Brühl, Martin Hanke · Inverse Problems · 196

Regularized D-bar method for the inverse conductivity problem

2009 · Kim Knudsen, Matti Lassas, et al. · Inverse Problems and Imaging · 168

On uniqueness in the inverse conductivity problem with local data

2007 · Victor Isakov · Inverse Problems and Imaging · 167

A reconstruction algorithm for electrical impedance tomography based on sparsity regularization

2011 · Bangti Jin, Taufiquar Khan, et al. · International Journal for Numerical Methods in Engineering · 134

Une introduction aux problèmes inverses elliptiques et paraboliques

2009 · Mourad Choulli · Mathématiques et applications · 123

Imaging cardiac activity by the D-bar method for electrical impedance tomography

2006 · D Isaacson, J L Mueller, et al. · Physiological Measurement · 118

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The determination of a discontinuity in a conductivity from a single boundary measurement

1998 · Frank Hettlich, William Rundell · Inverse Problems · 118

A real time algorithm for the location search of discontinuous conductivities with one measurement

2001 · Ohin Kwon, Jin Keun Seo, et al. · Communications on Pure and Applied Mathematics · 117

A direct reconstruction algorithm for electrical impedance tomography

2002 · J.L. Mueller, S. Siltanen, et al. · IEEE Transactions on Medical Imaging · 113

Solving electrical impedance tomography with deep learning

2019 · Yuwei Fan, Lexing Ying · Journal of Computational Physics · 112

On the Uniqueness in the Inverse Conductivity Problem with One Measurement

1988 · Avner Friedman, Victor Isakov · University of Minnesota Digital Conservancy (University of Minnesota) · 112

Uniqueness in the Inverse Conductivity Problem for Conductivities with 3/2 Derivatives in L p , p > 2 n

2003 · Russell M. Brown, Rodolfo H. Torres · Journal of Fourier Analysis and Applications · 109

Direct Reconstructions of Conductivities from Boundary Measurements

2003 · Jennifer L. Mueller, Samuli Siltanen · SIAM Journal on Scientific Computing · 109

The Inverse Conductivity Problem with One Measurement: Stability and Estimation of Size

1997 · Hyeonbae Kang, Jin Keun Seo, et al. · SIAM Journal on Mathematical Analysis · 106

Elliptic Equations in Divergence Form, Geometric Critical Points of Solutions, and Stekloff Eigenfunctions

1994 · G. Alessandrini, R. Magnanini · SIAM Journal on Mathematical Analysis · 105

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The layer potential technique for the inverse conductivity problem

1996 · Hyeonbae Kang, Jin Keun Seo · Inverse Problems · 98

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Conductivity imaging with a single measurement of boundary and interior data

2007 · Adrian Nachman, Alexandru Tamasan, et al. · Inverse Problems · 89

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Works count: 559

Citation count: 11,400