ISSN 2234-8417 (Online) ISSN 1598-5857 (Print)

 
 
 
   
 
Table of Contents
   
 
2010's   28,3-4(May)
   
 
  Inverse problem for a heat equation with piecewise-constant conductivity
    By S. Gutman ..........1040
   
 
 
Generic Number - 1040
References - 0
Written Date - April 27th, 10
Modified Date - April 27th, 10
Downloaded Counts - 497
Visited Counts - 609
 
Original File
 
Summary
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.
 
 
   
 
   

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