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Section B

A method of fundamental solutions for two-dimensional heat conduction

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Pages 1697-1713 | Received 11 Dec 2009, Accepted 27 Aug 2010, Published online: 14 Mar 2011
 

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.

2000 AMS Subject Classifications :

Acknowledgements

The authors would like to thank the referees for their suggestions. The third author acknowledges financial support from EPSRC in the form of a Doctoral Training Grant (DTG).

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