A method of fundamental solutions for transient heat conduction

Bjorn Johansson, D Lesnic

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

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 Lire 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. (c) 2008 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)697-703
Number of pages7
JournalEngineering Analysis with Boundary Elements
Volume32
Issue number9
DOIs
Publication statusPublished - 1 Sep 2008

Keywords

  • method of fundamental solutions
  • heat conduction

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