On uniqueness and non-uniqueness for current reconstruction from magnetic fields

Inverse Problems

Volumn 21, Issue 3, 2005, Pages 955-967

  Hauer, Karl Heinz ^a   Kühn, Lars ^b   Potthast, Roland ^b  

^a TomoScience GbR   (Germany)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CHARACTERIZATION; CURRENT DENSITY; FUEL CELLS; IMAGE RECONSTRUCTION; TOMOGRAPHY;

BIOT-SAVART LAW; CURRENT RECONSTRUCTIONS; MAGNETIC TOMOGRAPHY; RECONSTRUCTION ALGORITHMS;

MAGNETIC FIELDS;

EID: 18744390809     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/21/3/010     Document Type: Article

References (6)

1. Colton D and Kress R 1992 Inverse Acoustic and Electromagnetic Scattering Theory (Berlin: Springer)
2. Costabel M 1988 Boundary integral operator on Lipschitz domains: elementary results SIAM J. Math. Anal. 19 613-26
3. Hauer K H, Potthast R, Stolten D and Wüster T 2005 Magnetotomography-a new method for analysing fuel cell performance and quality J. Power Sources at press
4. Kress R, Kühn L and Potthast R 2002 Reconstruction of a current distribution from its magnetic field Inverse Problems 18 1127-46
5. Potthast R and Kühn L 2003 On the convergence of the finite integration technique for the anisotropic boundary value problem of magnetic tomography Math. Methods Appl. Sci. 26 739-57
6. Girault V and Raviart P-A 1986 Finite Element Approximation of the Navier Stokes Equations (Berlin: Springer)