Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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INVERSE PROBLEM FOR A HEAT EQUATION WITH PIECEWISE-CONSTANT CONDUCTIVITY

  • Gutman, S. (Department of Mathematics, University of Oklahoma) ;
  • Ramm, A.G. (Department of Mathematics, Kansas State University)
  • Received : 2009.10.06
  • Accepted : 2009.12.05
  • Published : 2010.05.30
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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.

Keywords

References

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