A method of fundamental solutions for transient heat conduction

B. Tomas Johansson, Daniel Lesnic

Research output: Contribution to journalArticlepeer-review


In this paper we investigate an application of the method of fundamental solutions (MFS) to transient heat conduction. In almost all of the previously proposed MFS for time-dependent heat conduction the fictitious sources are located outside the time-interval of interest. In our case, however, these sources are instead placed outside the space domain of interest in the same manner as is done for stationary heat conduction. A denseness result for this method is discussed and the method is numerically tested showing that accurate numerical results can be obtained. Furthermore, a test example with boundary singularities shows that it is advisable to remove such singularities before applying the MFS.
Original languageEnglish
Pages (from-to)697–703
Number of pages6
JournalEngineering Analysis with Boundary Elements
Issue number9
Early online date12 Feb 2008
Publication statusPublished - Sept 2008


  • heat conduction
  • method of fundamental solutions


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