An r-adaptive finite element method for the solution of the two-dimensional phase-field equations
Beckett, G. and MacKenzie, John and Robertson, M.L. (2006) An r-adaptive finite element method for the solution of the two-dimensional phase-field equations. Communications in Computational Physics, 1 (5). pp. 805-826. ISSN 1815-2406
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An adaptive moving mesh method is developed for the numerical solution of two-dimensional phase change problems modelled by the phase-field equations. The numerical algorithm is relatively simple and is shown to be more efficient than fixed grid methods. The phase-field equations are discretised by a Calerkin finite element method. An adaptivity criterion is used that ensures that the mesh spacing at the phase front scales with the diffuse interface thickness.
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Item type: Article ID code: 41133 Dates: DateEvent2006PublishedSubjects: Science > Physics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 14 Sep 2012 15:23 Last modified: 08 Apr 2024 20:07 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/41133
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