The SVD of the linearized EIT problem on a disk

Lionheart, William R.B. and Adler, Andy (2021) The SVD of the linearized EIT problem on a disk. In: 21 st International Conference on Biomedical Applications of ELECTRICAL IMPEDANCE TOMOGRAPHY, 14–16 June 2021, National University of Ireland, Galway.

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Official URL: https://zenodo.org/record/4940249

Abstract

Abstract: In this paper we calculate the right singular functions to the linearized EIT problem on homogeneous disk. We note the similarity to Zernike disk functions and the dependence on the mesh.

Item Type: Conference or Workshop Item (Paper)
Additional Information: A video of the talk is available at https://t.co/fuQlx0yq3N?amp=1
Uncontrolled Keywords: EIT, Electrical impedance tomography , SVD, Singular value decomposition, Zernike, Hilbert transform, Calderon problem
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 31 Potential theory
MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations
MSC 2010, the AMS's Mathematics Subject Classification > 44 Integral transforms, operational calculus
Depositing User: Prof WRB Lionheart
Date Deposited: 18 Jun 2021 16:54
Last Modified: 18 Jun 2021 16:54
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2823

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