Wavelet preconditioning for EIT

In this paper the forward problem of Electrical Impedance Tomography (EIT) is considered. To achieve a flexible treatment of boundaries, the original two-dimensional domain is extended to a simple square one and essential boundary conditions are imposed by means of Lagrange multipliers, resulting in...

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Bibliographic Details
Published in:Journal of physics. Conference series 2010-04, Vol.224 (1), p.012023
Main Authors: Kantartzis, P, Kunoth, A, Pabel, R, Liatsis, P
Format: Article
Language:English
Subjects:
B spline functions
Boundary conditions
Discretization
Electrical impedance
Forward problem
Lagrange multiplier
Physics
Preconditioning
Saddle points
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Summary:In this paper the forward problem of Electrical Impedance Tomography (EIT) is considered. To achieve a flexible treatment of boundaries, the original two-dimensional domain is extended to a simple square one and essential boundary conditions are imposed by means of Lagrange multipliers, resulting in a saddle point system. For discretisation, we employ a biorthogonal B-Spline wavelet basis for which it can be shown that in the suggested forward EIT formulation the condition number of the system matrix is asymptotically uniformly bounded, and therefore iterative solvers converge with a speed independent of the discretisation level.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/224/1/012023