Moving mesh methods for solving parabolic partial differential equations

In this thesis, we introduce and assess a new adaptive method for solving non-linear parabolic partial differential equations with fixed or moving boundaries, using a moving mesh with continuous finite elements. The evolution of the mesh within the interior of the spatial domain is based upon conser...

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Bibliographic Details
Main Author: Marlow, Robert
Other Authors: Hubbard, M. E. ; Jimack, P. K.
Published: University of Leeds 2010
Subjects:
518
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.534522