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Meshless detection of an internal moving boundary

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
Institution: The University of Leeds
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: 16 Jun 2014 20:12
Status: Published
Publisher: Leeds University Press
URI: http://eprints.whiterose.ac.uk/id/eprint/43108

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