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

Authors
Barrett, JW Blowey, JF
Citation
Jw. Barrett et Jf. Blowey, Finite element approximation of a model for phase separation of a multi-component alloy with nonsmooth free energy and a concentration dependent mobility matrix, MATH MOD M, 9(5), 1999, pp. 627-663
Citations number
16
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN journal
02182025 → ACNP
Volume
9
Issue
5
Year of publication
1999
Pages
627 - 663
Database
ISI
SICI code
0218-2025(199907)9:5<627:FEAOAM>2.0.ZU;2-S
Abstract
We consider a model for phase separation of a multi-component alloy with no nsmooth free energy and a concentration dependent mobility matrix. In parti cular we prove that there exists a unique solution for sufficiently smooth initial data. Further, we prove an error bound for a fully practical piecew ise linear finite element approximation in one and two space dimensions. Fi nally numerical experiments with three components in one space dimension ar e presented.