An analysis of electrical impedance tomography with applications to Tikhonov regularization

ESAIM - Control, Optimisation and Calculus of Variations

Volumn 18, Issue 4, 2012, Pages 1027-1048

  Jin, Bangti ^a   Maass, Peter ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF BREMEN   (Germany)

Author keywords

Convergence rate; Electrical impedance tomography; Tikhonov regularization

Indexed keywords

ANALYTICAL RESULTS; BOUNDARY MEASUREMENTS; CONTINUUM MODEL; CONVERGENCE RATES; DIFFERENTIABILITY; ELECTRICAL IMPEDANCE TOMOGRAPHY; ELECTRICAL IMPEDANCE TOMOGRAPHY INVERSE PROBLEMS; ELECTRODE MODELS; INHOMOGENEITIES; NON-LINEAR MODEL; PRIORI INFORMATION; TIKHONOV REGULARIZATION;

ELECTRIC IMPEDANCE TOMOGRAPHY; INVERSE PROBLEMS;

ELECTRIC IMPEDANCE;

EID: 84864285214     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv/2011193     Document Type: Article

References (6)

1. F.J. Almgren, W. Browder and E.H. Lieb, Co-area, liquid crystals, and minimal surfaces, in Partial Differential Equations, Lecture Notes in Math. 1306. Springer (1988) 1-22.
2. H. Federer, Geometric measure theory, Grundlehren Math. Wissen. 153. Springer, New York (1969).
3. M. Giaquinta, G. Modica and J. Soucek, Cartesian currents in the calculus of variations, I, II, Ergebnisse Math. Grenzgebiete (III Ser.) 37, 38. Springer, Berlin (1998).
4. M. Giaquinta and D. Mucci, Maps into manifolds and currents : area and W1,2-, W1/2-, BV-energies, Edizioni della Normale. C.R.M. Series, Sc. Norm. Sup. Pisa (2006).
5. L. Simon, Lectures on geometric measure theory, Proc. of the Centre for Math. Analysis 3. Australian National University, Canberra (1983).
6. E.G. Virga, Variational theories for liquid crystals, Applied Mathematics and Mathematical Computation 8. Chapman & Hall, London (1994).