A Convergent Layer Stripping Algorithm for the Radially Symmetric Impedence Tomography Problem

DOI10.1080/03605309208820910zbMath0770.35080OpenAlexW2023599039MaRDI QIDQ4033778

John Sylvester

Publication date: 16 May 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820910

zbMATH Keywords

invariant embeddingDirichlet-to-Neumann maptwo-dimensional radially symmetric case

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Electro- and magnetostatics (78A30)

Related Items (12)

Application of the factorization method to the characterization of weak inclusions in electrical impedance tomography ⋮ Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field ⋮ The determination of a coefficient in an elliptic equation from average flux data ⋮ Detecting anisotropic inclusions through EIT ⋮ The Born approximation in the three-dimensional Calderón problem. II: Numerical reconstruction in the radial case ⋮ Extracting discontinuity using the probe and enclosure methods ⋮ A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography ⋮ Determination of a potential from cauchy data: uniqueness and distinguishability ⋮ A new iterative procedure for the numerical solution of coefficient inverse problems ⋮ A Bayesian filtering approach to layer stripping for electrical impedance tomography ⋮ Stability of an Inverse Problem in Potential Scattering on The Real Line ⋮ On the construction of a potential from Cauchy data

Cites Work

• Layer stripping: a direct numerical method for impedance imaging
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