A method of fundamental solutions for two-dimensional heat conduction

B. Tomas Johansson, Daniel Lesnic, Thomas Reeve

Research output: Contribution to journalArticle

Abstract

We investigate an application of the method of fundamental solutions (MFS) to heat conduction in two-dimensional bodies, where the thermal diffusivity is piecewise constant. We extend the MFS proposed in Johansson and Lesnic [A method of fundamental solutions for transient heat conduction, Eng. Anal. Bound. Elem. 32 (2008), pp. 697–703] for one-dimensional heat conduction with the sources placed outside the space domain of interest, to the two-dimensional setting. Theoretical properties of the method, as well as numerical investigations, are included, showing that accurate results can be obtained efficiently with small computational cost.
Original languageEnglish
Pages (from-to)1697-1713
Number of pages17
JournalInternational Journal of Computer Mathematics
Volume88
Issue number8
DOIs
Publication statusPublished - May 2011

Keywords

  • method of fundamental solutions
  • heat conduction

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