Monotonicity in Inverse Medium Scattering on Unbounded Domains
暂无分享,去创建一个
[1] Peter Monk,et al. The Linear Sampling Method in Inverse Electromagnetic Scattering , 2010 .
[2] Bastian Harrach,et al. Simultaneous determination of the diffusion and absorption coefficient from boundary data , 2012 .
[3] Henrik Garde,et al. Convergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography , 2015, Numerische Mathematik.
[4] Armin Lechleiter,et al. The inside–outside duality for scattering problems by inhomogeneous media , 2013 .
[5] A. Kirsch,et al. A simple method for solving inverse scattering problems in the resonance region , 1996 .
[6] Bastian Harrach,et al. Enhancing residual-based techniques with shape reconstruction features in electrical impedance tomography , 2015, 1511.07079.
[7] Bastian Harrach,et al. Local uniqueness for an inverse boundary value problem with partial data , 2016, 1810.05834.
[8] Armin Lechleiter,et al. Difference Factorizations and Monotonicity in Inverse Medium Scattering for Contrasts with Fixed Sign on the Boundary , 2016, SIAM J. Math. Anal..
[9] Andreas Kirsch,et al. Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory , 1999 .
[10] Jin Keun Seo,et al. Exact Shape-Reconstruction by One-Step Linearization in Electrical Impedance Tomography , 2010, SIAM J. Math. Anal..
[11] Jin Keun Seo,et al. Monotonicity-based electrical impedance tomography for lung imaging , 2017, 1702.02563.
[12] Antonello Tamburrino,et al. Design of a Real-Time Eddy Current Tomography System , 2017, IEEE Transactions on Magnetics.
[13] A. Kirsch. An Introduction to the Mathematical Theory of Inverse Problems , 1996, Applied Mathematical Sciences.
[14] Fioralba Cakoni,et al. Inverse scattering theory and transmission eigenvalues , 2016 .
[15] Jin Keun Seo,et al. The inverse conductivity problem with one measurement: stability and estimation of size , 1997 .
[16] B. Harrach,et al. Combining frequency-difference and ultrasound modulated electrical impedance tomography , 2015, 1810.04392.
[17] B. Harrach. On uniqueness in diffuse optical tomography , 2009 .
[18] J. Hayashi. [Sampling methods]. , 1982, Josanpu zasshi = The Japanese journal for midwife.
[19] Bastian Gebauer,et al. Localized potentials in electrical impedance tomography , 2008 .
[20] Roland Potthast,et al. A survey on sampling and probe methods for inverse problems , 2006 .
[21] Bastian Harrach,et al. Unique shape detection in transient eddy current problems , 2013 .
[22] Bastian von Harrach,et al. Resolution Guarantees in Electrical Impedance Tomography , 2015, IEEE Transactions on Medical Imaging.
[23] Bastian von Harrach,et al. Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography , 2013, SIAM J. Math. Anal..
[24] A. Kirsch. Remarks on the Born approximation and the Factorization Method , 2017 .
[25] Bastian Harrach,et al. Monotonicity-based regularization for phantom experiment data in Electrical Impedance Tomography , 2016, 1610.05718.
[26] Andrea Barth,et al. Detecting stochastic inclusions in electrical impedance tomography , 2017, 1706.03962.
[27] Lalita Udpa,et al. Monotonicity Based Imaging Method in Time Domain Eddy Current Testing , 2016 .
[28] Masaru Ikehata,et al. Size estimation of inclusion , 1998 .
[29] Lalita Udpa,et al. Monotonicity principle in pulsed eddy current testing and its application to defect sizing , 2017, 2017 International Applied Computational Electromagnetics Society Symposium - Italy (ACES).
[30] Andreas Kirsch,et al. Characterization of the shape of a scattering obstacle using the spectral data of the far field operator , 1998 .
[31] Martin Brühl,et al. Explicit Characterization of Inclusions in Electrical Impedance Tomography , 2001, SIAM J. Math. Anal..
[32] Antonello Tamburrino,et al. A new non-iterative inversion method for electrical resistance tomography , 2002 .
[33] A. Kirsch. The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media , 2002 .
[34] Armin Lechleiter,et al. The factorization method is independent of transmission eigenvalues , 2009 .
[35] Henrik Garde,et al. The regularized monotonicity method: Detecting irregular indefinite inclusions , 2017, Inverse Problems & Imaging.
[36] Bastian von Harrach,et al. Monotonicity and Enclosure Methods for the p-Laplace Equation , 2017, SIAM J. Appl. Math..
[37] Bastian Harrach,et al. Monotonicity and local uniqueness for the Helmholtz equation , 2017, Analysis & PDE.
[38] Bastian von Harrach,et al. Recent Progress on the Factorization Method for Electrical Impedance Tomography , 2013, Comput. Math. Methods Medicine.
[39] N I Grinberg,et al. The Factorization Method for Inverse Problems , 2007 .
[40] Robert H. Halstead,et al. Matrix Computations , 2011, Encyclopedia of Parallel Computing.
[41] Antonello Tamburrino,et al. A Novel Technique for Evaluating the Effective Permittivity of Inhomogeneous Interconnects Based on the Monotonicity Property , 2016, IEEE Transactions on Components, Packaging and Manufacturing Technology.
[42] Bastian Harrach,et al. Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials , 2017, SIAM J. Math. Anal..
[43] R. Kress,et al. Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .
[44] Henrik Garde,et al. Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations , 2016, 1602.04053.
[45] Fioralba Cakoni,et al. A Qualitative Approach to Inverse Scattering Theory , 2013 .
[46] John Sylvester,et al. Uncertainty Principles for Inverse Source Problems, Far Field Splitting, and Data Completion , 2017, SIAM J. Appl. Math..