Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Comparison of statistical inversion with iteratively regularized Gauss Newton method for image reconstruction in electrical impedance tomography

Sanwar Ahmad, Thilo Strauss, Shyla Kupis and Taufiquar Khan
Applied Mathematics and Computation 358 436 (2019)
DOI: 10.1016/j.amc.2019.03.063
See this article

Recovering elastic inclusions by shape optimization methods with immersed finite elements

Ruchi Guo, Tao Lin and Yanping Lin
Journal of Computational Physics 404 109123 (2020)
DOI: 10.1016/j.jcp.2019.109123
See this article

An Equilibrated Fluxes Approach to the Certified Descent Algorithm for Shape Optimization Using Conforming Finite Element and Discontinuous Galerkin Discretizations

Matteo Giacomini
Journal of Scientific Computing 75 (1) 560 (2018)
DOI: 10.1007/s10915-017-0545-1
See this article

Analysis of Reconstruction Energy Efficiency in EIT and ECT 3D Tomography Based on Elastic Net

Bartosz Przysucha, Dariusz Wójcik, Tomasz Rymarczyk, Krzysztof Król, Edward Kozłowski and Marcin Gąsior
Energies 16 (3) 1490 (2023)
DOI: 10.3390/en16031490
See this article

Rudolf Ressel, Patrick Dülk, Stephan Dahlke, Kamil S. Kazimierski and Peter Maass
102 53 (2014)
DOI: 10.1007/978-3-319-08159-5_3
See this article

New Trends in Parameter Identification for Mathematical Models

Christopher Hofmann, Bernd Hofmann and Roman Unger
Trends in Mathematics, New Trends in Parameter Identification for Mathematical Models 145 (2018)
DOI: 10.1007/978-3-319-70824-9_8
See this article

Split Bregman iterative algorithm for sparse reconstruction of electrical impedance tomography

Jing Wang, Jianwei Ma, Bo Han and Qin Li
Signal Processing 92 (12) 2952 (2012)
DOI: 10.1016/j.sigpro.2012.05.027
See this article

A convergent adaptive finite element method for electrical impedance tomography

Bangti Jin, Yifeng Xu and Jun Zou
IMA Journal of Numerical Analysis drw045 (2016)
DOI: 10.1093/imanum/drw045
See this article

Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators

Matteo Giacomini, Olivier Pantz and Karim Trabelsi
ESAIM: Control, Optimisation and Calculus of Variations 23 (3) 977 (2017)
DOI: 10.1051/cocv/2016021
See this article

The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography

Giovanni S. Alberti, Habib Ammari, Bangti Jin, Jin-Keun Seo and Wenlong Zhang
SIAM Journal on Imaging Sciences 9 (4) 1525 (2016)
DOI: 10.1137/16M1061564
See this article

Reducing negative effects of quadratic norm regularization on image reconstruction in electrical impedance tomography

Ashkan Javaherian, Amir Movafeghi and Reza Faghihi
Applied Mathematical Modelling 37 (8) 5637 (2013)
DOI: 10.1016/j.apm.2012.11.022
See this article

A Hybrid Segmentation and D-Bar Method for Electrical Impedance Tomography

S. J. Hamilton, J. M. Reyes, S. Siltanen and X. Zhang
SIAM Journal on Imaging Sciences 9 (2) 770 (2016)
DOI: 10.1137/15M1025992
See this article

Expectation propagation for nonlinear inverse problems – with an application to electrical impedance tomography

Matthias Gehre and Bangti Jin
Journal of Computational Physics 259 513 (2014)
DOI: 10.1016/j.jcp.2013.12.010
See this article

A review on image reconstruction algorithms for electrical capacitance/resistance tomography

Ziqiang Cui, Qi Wang, Qian Xue, et al.
Sensor Review 36 (4) 429 (2016)
DOI: 10.1108/SR-01-2016-0027
See this article

Reconstructing conductivity coefficients based on sparsity regularization and measured data in electrical impedance tomography

Quy Muoi Pham
Inverse Problems in Science and Engineering 23 (8) 1366 (2015)
DOI: 10.1080/17415977.2015.1018678
See this article

Non-linear Tikhonov regularization in Banach spaces for inverse scattering from anisotropic penetrable media

Marcel Rennoch and Armin Lechleiter
Inverse Problems and Imaging 11 (1) 151 (2017)
DOI: 10.3934/ipi.2017008
See this article

Sparsity prior for electrical impedance tomography with partial data

Henrik Garde and Kim Knudsen
Inverse Problems in Science and Engineering 24 (3) 524 (2016)
DOI: 10.1080/17415977.2015.1047365
See this article

An accelerated version of alternating direction method of multipliers for TV minimization in EIT

Ashkan Javaherian, Manuchehr Soleimani, Knut Moeller, Amir Movafeghi and Reza Faghihi
Applied Mathematical Modelling 40 (21-22) 8985 (2016)
DOI: 10.1016/j.apm.2016.05.052
See this article

Linearized reconstruction for diffuse optical spectroscopic imaging

Habib Ammari, Bangti Jin and Wenlong Zhang
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475 (2221) 20180592 (2019)
DOI: 10.1098/rspa.2018.0592
See this article

Elastic-net regularization for nonlinear electrical impedance tomography with a splitting approach

Jing Wang, Bo Han and Wei Wang
Applicable Analysis 98 (12) 2201 (2019)
DOI: 10.1080/00036811.2018.1451644
See this article

Solving inverse problems using data-driven models

Simon Arridge, Peter Maass, Ozan Öktem and Carola-Bibiane Schönlieb
Acta Numerica 28 1 (2019)
DOI: 10.1017/S0962492919000059
See this article

Mathematical aspects of catalyst positioning in lithium/air batteries

Thuong-Huyen Nguyen, Dinh Nho Hào, Peter Maass and Lucio Colombi Ciacchi
Inverse Problems 36 (4) 044001 (2020)
DOI: 10.1088/1361-6420/ab47e6
See this article

An analysis of finite element approximation in electrical impedance tomography

Matthias Gehre, Bangti Jin and Xiliang Lu
Inverse Problems 30 (4) 045013 (2014)
DOI: 10.1088/0266-5611/30/4/045013
See this article

A direct sampling method for electrical impedance tomography

Yat Tin Chow, Kazufumi Ito and Jun Zou
Inverse Problems 30 (9) 095003 (2014)
DOI: 10.1088/0266-5611/30/9/095003
See this article

Acousto-electric tomography with total variation regularization

Bolaji James Adesokan, Bjørn Jensen, Bangti Jin and Kim Knudsen
Inverse Problems 35 (3) 035008 (2019)
DOI: 10.1088/1361-6420/aaece5
See this article

Comparison of Machine Learning Methods in Electrical Tomography for Detecting Moisture in Building Walls

Tomasz Rymarczyk, Grzegorz Kłosowski, Anna Hoła, et al.
Energies 14 (10) 2777 (2021)
DOI: 10.3390/en14102777
See this article

Kim Knudsen and Henrik Garde
495 (2015)
DOI: 10.3934/proc.2015.0495
See this article

Non-convex ℓp regularization for sparse reconstruction of electrical impedance tomography

Jing Wang
Inverse Problems in Science and Engineering 29 (7) 1032 (2021)
DOI: 10.1080/17415977.2020.1820001
See this article

Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity

Bangti Jin and Yifeng Xu
Inverse Problems 36 (1) 014003 (2020)
DOI: 10.1088/1361-6420/ab261e
See this article

Direct regularized reconstruction for the three-dimensional Calderón problem

Kim Knudsen and Aksel Kaastrup Rasmussen
Inverse Problems and Imaging 16 (4) 871 (2022)
DOI: 10.3934/ipi.2022002
See this article

Yu Wang, Qingsong Wang, Shangjie Ren and Feng Dong
1 (2018)
DOI: 10.1109/I2MTC.2018.8409541
See this article

An EIT image reconstruction method based on DenseNet with multi-scale convolution

Dan Yang, Shijun Li, Yuyu Zhao, Bin Xu and Wenxu Tian
Mathematical Biosciences and Engineering 20 (4) 7633 (2023)
DOI: 10.3934/mbe.2023329
See this article

Implicit Solutions of the Electrical Impedance Tomography Inverse Problem in the Continuous Domain with Deep Neural Networks

Thilo Strauss and Taufiquar Khan
Entropy 25 (3) 493 (2023)
DOI: 10.3390/e25030493
See this article

Majorization–Minimization Total Variation Solution Methods for Electrical Impedance Tomography

Eman Alruwaili and Jing Li
Mathematics 10 (9) 1469 (2022)
DOI: 10.3390/math10091469
See this article

An Optimal Bayesian Estimator for Absorption Coefficient in Diffuse Optical Tomography

Anuj Abhishek, Thilo Strauss and Taufiquar Khan
SIAM Journal on Imaging Sciences 15 (2) 797 (2022)
DOI: 10.1137/21M1462842
See this article