Two multigrid algorithms for an inverse problem in Electrical Impedance Tomopraphy

The subject of this paper is an application of the multigrid method to the inverse problem in the Electrical Impedance Tomography. The multigrid algorithm of a new type has been developed for solving this problem, involving near-boundary semi-coarsening cycles within full-coarsening cycles. The results of the developed algorithm were compared with another previously developed multigrid algorithm which uses the classical regularization technique. Both algorithm give nearly the same accuracy, but the new algorithm is much cheaper since it does not have all the artificial parameters as the algorithm with classical regularization does. Copyright c © 2000 John Wiley & Sons, Ltd.