FINITE ELEMENT APPROXIMATION OF A MODEL FOR PHASE SEPARATION OF A MULTI-COMPONENT ALLOY WITH NONSMOOTH FREE ENERGY AND A CONCENTRATION DEPENDENT MOBILITY MATRIX
FINITE ELEMENT APPROXIMATION OF A MODEL FOR PHASE SEPARATION OF A MULTI-COMPONENT ALLOY WITH NONSMOOTH FREE ENERGY AND A CONCENTRATION DEPENDENT MOBILITY MATRIX
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具有非光滑自由能和浓度依赖迁移率矩阵的多组分合金相分离模型的有限元逼近
DOI：
10.1142/s0218202599000336
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
J. F. Blowey
中科院分区：
文献类型：
--
作者：
J. Barrett;J. F. Blowey
考虑具有非光滑自由能和浓度依赖迁移率矩阵的多元合金的相分离模型。特别地，我们证明了对于足够光滑的初值，存在唯一解。进一步，我们证明了一维和二维空间中完全实用的分段线性有限元逼近的误差界。最后给出了一维空间中三个分量的数值实验。
We consider a model for phase separation of a multi-component alloy with nonsmooth free energy and a concentration dependent mobility matrix. 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.