Adaptive and stochastic algorithms for piecewise constant EIT and DC resistivity problems with many measurements
Duration: 48 mins 38 secs
About this item
Asher, U (University of British Columbia)
Tuesday 23 August 2011, 11:45-12:30
|Publisher:||Isaac Newton Institute|
|Abstract:||We develop fast numerical methods for the practical solution of the famous EIT and DC-resistivity problems in the presence of discontinuities and potentially many experiments or data.
Based on a Gauss-Newton (GN) approach coupled with preconditioned conjugate gradient (PCG) iterations, we propose two algorithms. One determines adaptively the number of inner PCG iterations required to stably and effectively carry out each GN iteration. The other algorithm, useful especially in the presence of many experiments, employs a randomly chosen subset of experiments at each GN iteration that is controlled using a cross validation approach. Numerical examples demonstrate the efﬁcacy of our algorithms.
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