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 .
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.
|Institution:||The University of Leeds|
|Academic Units:||The University of Leeds > Faculty of Engineering (Leeds) > School of Chemical & Process Engineering (Leeds) > 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:||18 Sep 2016 23:20|
|Publisher:||Leeds University Press|