Numerical analysis of a model for phase separation of a multi-component alloy

被引:49
|
作者
Blowey, JF
Copetti, MIM
Elliott, CM
机构
[1] UNIV FED SANTA MARIA,DEPT MATH,BR-97119 SANTA MARIA,RS,BRAZIL
[2] UNIV SUSSEX,CTR MATH ANAL & APPLICAT,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
关键词
D O I
10.1093/imanum/16.1.111
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a fully discrete implicit finite-element approximation of a model for the phase separation of a multi-component alloy. We prove existence, uniqueness and stability of the numerical solution for a sufficiently small time step. We prove convergence to the solution of the associated continuous problem. We perform a linear stability analysis of the equation and describe some numerical experiments.
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页码:111 / 139
页数:29
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