An accurate refinement scheme for inverse heat source location identifications

Leevan Ling*, Tomoya Takeuchi

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

2 Citations (Scopus)


We aim to identify the unknown source locations in a two-dimensional heat equation from scattered measurements. In [Inverse Problems, 22(4): 1289-1305, 2006], we proposed a numerical procedure that identifies the unknown source locations of 2D heat equation solely based on three measurement points. Due to the nonlinearity and complexity of the problem, the quality of the resulting estimations is often poor especially when the number of unknown is large. In this paper, we purpose a linear refinement scheme that takes the outputs of the existing nonlinear algorithm as initial guesses and iteratively improves on the accuracy of the estimations; the convergence of the proposed algorithm with noisy data is proven. The work is concluded by some numerical examples.

Original languageEnglish
Pages (from-to)99-110
Number of pages12
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number2
Publication statusPublished - Jun 2007

Scopus Subject Areas

  • Software
  • Modelling and Simulation
  • Computer Science Applications

User-Defined Keywords

  • Heat equation
  • inverse problem
  • point source
  • locations identification
  • fundamental solution
  • convergence


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