A method of fundamental solutions for two-dimensional heat conduction

B. Tomas Johansson (1) , D. Lesnic (2) , Thomas Henry Reeve (1)

1 School of Mathematics [Birmingham]
2 Applied Mathematics

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 a recent MFS for one-dimensional heat conduction with the sources placed outside the space domain of interest (Engng. Anal. Boundary Elements 32, 697-703, 2008), 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.

Mots clés: Physical Sciences

Domaines: Informatique [cs]

B. Tomas Johansson, D. Lesnic, Thomas Henry Reeve. A method of fundamental solutions for two-dimensional heat conduction. International Journal of Computer Mathematics, 2011, pp.1. ⟨10.1080/00207160.2010.522233⟩. ⟨hal-00678795⟩