Inverse problem for a heat equation with piecewise-constant conductivity

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dc.contributor.author Gutman, S.
dc.contributor.author Ramm, Alexander G.
dc.date.accessioned 2011-08-17T18:40:08Z
dc.date.available 2011-08-17T18:40:08Z
dc.date.issued 2011-08-17
dc.identifier.uri http://hdl.handle.net/2097/12038
dc.description.abstract We consider the inverse problem of the identification of a piecewise-constant conductivity in a bar given the extra information of the heat flux through one end of the bar. Our theoretical results show that such an identification is unique. This approach utilizes a ”layer peeling” argument. A computational algorithm based on this method is proposed and implemented. The advantage of this algorithm is that it requires only 3D minimizations irrespective of the number of the unknown discontinuities. Its numerical effectiveness is investigated for several conductivities. en_US
dc.relation.uri http://kcam.biz/contents/table_contents_view.php?Len=&idx=1040 en_US
dc.rights This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/
dc.subject Identification en_US
dc.subject Heat conduction en_US
dc.subject Piecewise-constant conductivity en_US
dc.subject Inverse problems en_US
dc.title Inverse problem for a heat equation with piecewise-constant conductivity en_US
dc.type Article (publisher version) en_US
dc.date.published 2010 en_US
dc.citation.epage 661 en_US
dc.citation.issue 3-4 en_US
dc.citation.jtitle Journal of Applied Mathematics & Informatics en_US
dc.citation.spage 651 en_US
dc.citation.volume 28 en_US
dc.contributor.authoreid ramm en_US


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