Dawson, M, Borman, DJ, Lesnic, D, Hammond, R and Rhodes, D (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 .
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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.
| Item Type: | Proceedings Paper |
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| Academic Units: | The University of Leeds > Faculty of Engineering (Leeds) > School of Process, Environmental and Materials Engineering (Leeds) > Centre for Computational Fluid Dynamics (Leeds) The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
| Depositing User: | Symplectic Publications |
| Date Deposited: | 26 Aug 2011 11:16 |
| Last Modified: | 08 Feb 2013 17:32 |
| Status: | Published |
| Publisher: | Leeds University Press |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/43108 |
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