Dawson, M, Borman, DJ, Lesnic, D et al. (2 more authors)
(2011)
Meshless detection of an internal moving boundary.
In:
Proceedings of the 8th UK Conference on Boundary Integral Methods,.
Proceedings of the 8th UK Conference on Boundary Integral Methods, 04 Jul 2011 - 05 Jul 2011, Leeds.
Leeds University Press
, Leeds
, 17 - 24 .
Abstract
In this paper, we develop the meshless method of fundamental solutions (MFS) for solving the two-dimensional time-dependent heat equation, to locate an internal moving bound- ary. The inverse problem presented here is ill-posed and nonlinear and therefore, a least-squares minimisation routine is employed to reconstruct the inclusion, using known Dirichlet and Neu- mann boundary data on the outer fixed boundary.
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