Kurt Bryan et al 2006 Inverse Problems 22 1337 doi:10.1088/0266-5611/22/4/013
Kurt Bryan1, Janine Haugh2 and David McCune3
Show affiliationsWe develop two closely-related fast and simple numerical algorithms to address the inverse problem of identifying a collection of disjoint linear cracks in a two-dimensional homogeneous electrical conductor from exterior boundary voltage/current measurements. We allow the possibility that the cracks are partially conductive. Our approach also allows us to determine the actual number of cracks present, as well as make use of one or multiple input fluxes. We illustrate our algorithms with a variety of computational examples.
35R30 Inverse problems (undetermined coefficients, etc.) for PDE
Issue 4 (August 2006)
Received 3 March 2006, in final form 31 May 2006
Published 26 June 2006
Kurt Bryan et al 2006 Inverse Problems 22 1337
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