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An adaptive, multilevel scheme for the implicit solution of three-dimensional phase-field equations

Green, J.R., Jimack, P.K., Mullis, A.M. and Rosam, J. (2010) An adaptive, multilevel scheme for the implicit solution of three-dimensional phase-field equations. Numerical Methods for Partial Differential Equations, 27 (1). pp. 106-120. ISSN 0749159X

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Abstract

Phase-field models, consisting of a set of highly nonlinear coupled parabolic partial differential equations, are widely used for the simulation of a range of solidification phenomena. This article focuses on the numerical solution of one such model, representing anisotropic solidification in three space dimensions. The main contribution of the work is to propose a solution strategy that combines hierarchical mesh adaptivity with implicit time integration and the use of a nonlinear multigrid solver at each step. This strategy is implemented in a general software framework that permits parallel computation in a natural manner. Results are presented that provide both qualitative and quantitative justifications for these choices

Item Type: Article
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Schools: School of Computing and Engineering
Depositing User: James Green
Date Deposited: 17 Jul 2012 15:38
Last Modified: 17 Jul 2012 15:38
URI: http://eprints.hud.ac.uk/id/eprint/13798

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