Finite element approximation of a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix

被引:21
作者
Barrett, JW
Blowey, JF
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England
[2] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
关键词
D O I
10.1093/imanum/18.2.287
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix and logarithmic free energy. In particular we prove that there exists a unique solution for sufficiently smooth initial data. Further, we prove an error bound for a fully practical piecewise linear finite element approximation in one and two space dimensions. Finally numerical experiments with three components in one space dimension are presented.
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收藏
页码:287 / 328
页数:42
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