Improving the forward solver for the complete electrode model in EIT using algebraic multigrid

M. Soleimani, C.E. Powell, N. Polydorides
2005 IEEE Transactions on Medical Imaging  
Image reconstruction in electrical impedance tomography is an ill-posed nonlinear inverse problem. Linearization techniques are widely used and require the repeated solution of a linear forward problem. To account correctly for the presence of electrodes and contact impedances, the so-called complete electrode model is applied. Implementing a standard finite element method for this particular forward problem yields a linear system that is symmetric and positive definite and solvable via the
more » ... ugate gradient method. However, preconditioners are essential for efficient convergence. Preconditioners based on incomplete factorization methods are commonly used but their performance depends on user-tuned parameters. To avoid this deficiency, we apply black-box algebraic multigrid, using standard commercial and freely available software. The suggested solution scheme dramatically reduces the time cost of solving the forward problem. Numerical results are presented using an anatomically detailed model of the human head. Index Terms-Algebraic multigrid, complete electrode model, electrical impedance tomography, finite element method, forward problem, preconditioning.
doi:10.1109/tmi.2005.843741 pmid:15889545 fatcat:5tzwogdkmbbgdlzjf5lydezdum