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Applied Mathematical Modelling
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Applied Mathematical Modelling
Article . 1997
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Applied Mathematical Modelling
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A numerical method for predicting crystal micro-structure

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1997 English Publisher:Elsevier BVJournal:Applied Mathematical Modelling, volume 21, pages 569-578 (issn: 0307-904X, Copyright policy )
Authors: Galloway, Stuart J.; Smyth, Noel F.;

doi: 10.1016/s0307-904x(97)00054-1

A numerical method for predicting crystal micro-structure

Abstract

The authors extend the boundary integral method originally formulated for the one-phase Stefan problem to the two-phase Stefan problem, dealing especially with the case where the ratio of the diffusivities is large. They also apply it to simple models of crystal growth.

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Keywords

boundary integral method, Heat equation, Modelling and Simulation, Applied Mathematics, crystal growth, Free boundary problems for PDEs, two-phase Stefan problem, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Statistical mechanics of crystals, Stefan problems, phase changes, etc.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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