Hubbard, M.E., Baines, M.J. and Jimack, P.K. (2009) Consistent dirichlet boundary conditions for numerical solution of moving boundary problems. Applied Numerical Mathematics, 59 (6). pp. 1337-1353. ISSN 01689274
Abstract
We consider the imposition of Dirichlet boundary conditions in the finite element mod-elling of moving boundary problems in one and two dimensions for which the total mass is prescribed. A modification of the standard linear finite element test space allows the boundary conditions to be imposed strongly whilst simultaneously conserving a discrete mass. The validity of the technique is assessed for a specific moving mesh finite element method, although the approach is more general. Numerical comparisons are carried out for mass-conserving solutions of the porous medium equation with Dirichlet boundary conditions and for a moving boundary problem with a source term and time-varying mass.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright © 2008 IMACS Published by Elsevier B.V. This is an author produced version of a paper published in 'Applied Numerical Mathematics'. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Depositing User: | Miss Jamie Grant |
Date Deposited: | 02 Apr 2009 14:44 |
Last Modified: | 29 Oct 2016 09:28 |
Published Version: | http://dx.doi.org/10.1016/j.apnum.2008.08.002 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.apnum.2008.08.002 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:8483 |