An inverse problem, with boundary measurements for the steady state diffusion equation

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dc.contributor.authorConnolly, Thomas John
dc.contributor.authorWall, David J. N.
dc.date.accessioned2015-10-16T01:38:26Z
dc.date.available2015-10-16T01:38:26Z
dc.date.issued1987en
dc.description.abstractThe Newton-Kantorovich computational method is applied to the inverse problem of reconstructing a conductivity from given boundary measurements. The paper provides the theoretical analysis necessary to provide rigorous derivations of the Frechet differential. Linearisations of the non-linear problem are examined and a numerical procedure for reconstructing general conductivities suggested. This procedure is illustrated by reconstructing one-dimensional conductivities.en
dc.identifier.urihttp://hdl.handle.net/10092/11187
dc.language.isoen
dc.publisherUniversity of Canterbury. Mathematicsen
dc.relation.isreferencedbyNZCUen
dc.rightsCopyright Thomas John Connollyen
dc.rights.urihttps://canterbury.libguides.com/rights/thesesen
dc.subject.anzsrcField of Research::01 - Mathematical Sciencesen
dc.titleAn inverse problem, with boundary measurements for the steady state diffusion equationen
dc.typeDiscussion / Working Papers
thesis.degree.grantorUniversity of Canterburyen
thesis.degree.levelResearch Reporten
thesis.degree.nameResearch Reporten
uc.bibnumber208666en
uc.collegeFaculty of Engineeringen
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