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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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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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container_title	Journal of physics. Conference series
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creator	Kantartzis, P Kunoth, A Pabel, R Liatsis, P
description	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.
doi_str_mv	10.1088/1742-6596/224/1/012023
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subjects	B spline functions Boundary conditions Discretization Electrical impedance Forward problem Lagrange multiplier Physics Preconditioning Saddle points
title	Wavelet preconditioning for EIT
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