Published July 2008 | Version v1
Journal article Metadata-only

Reconstructions of piecewise constant conductivities by the D-bar method for electrical impedance tomography

Creators

  • 1. Department of Mathematical Sciences, Aalborg University (Denmark)
  • 2. Institute of Mathematics, Helsinki University of Technology (Finland)
  • 3. Department of Mathematics, Colorado State University, Colorado and School of Biomedical Engineering, Colorado State University, Colorado (United States)
  • 4. Samuli Siltanen, Institute of Mathematics, Tampere University of Technology (Finland)

Description

The importance of the solution of the boundary integral equation for the exponentially growing solutions to the Schroedinger equation arising from the 2-D inverse conductivity problems is demonstrated by a study of reconstructions of simple piecewise constant conductivities on a disk from two methods of approximating the scattering transform in the D-bar method and from Calderon's linearization method

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/124/1/012029

Additional details

Identifiers

DOI
10.1088/1742-6596/124/1/012029;

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
124
Journal Issue
1
Journal Page Range
[9 p.]
ISSN
1742-6596

Conference

Title
Theoretical and computational aspects
Acronym
1. international congress of the International Association of Inverse Problems (IPIA) - Applied inverse problems 2007
Dates
25-29 Jun 2007
Place
Vancouver (Canada)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40048829
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
APPROXIMATIONS; ELECTRIC CONDUCTIVITY; IMPEDANCE; INTEGRAL EQUATIONS; MATHEMATICAL SOLUTIONS; SCHROEDINGER EQUATION; TOMOGRAPHY; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
CALCULATION METHODS; DIAGNOSTIC TECHNIQUES; DIFFERENTIAL EQUATIONS; ELECTRICAL PROPERTIES; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES; WAVE EQUATIONS