Repository: Freie Universität Berlin, Math Department

Numerical approximation of multi-phase Penrose-Fife systems

Gräser, C. and Kahnt, M. and Kornhuber, R. (2016) Numerical approximation of multi-phase Penrose-Fife systems. Computational Methods in Applied Mathematics, 16 (4). pp. 523-542. ISSN Online: 1609-9389, Print: 1609-4840


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We consider a non-isothermal multi-phase field model. We subsequently discretize implicitly in time and with linear finite elements. The arising algebraic problem is formulated in two variables where one is the multi-phase field, and the other contains the inverse temperature field. We solve this saddle point problem numerically by a non-smooth Schur-Newton approach using truncated non-smooth Newton multigrid methods. An application in grain growth as occurring in liquid phase crystallization of silicon is considered.

Item Type:Article
Uncontrolled Keywords:Multi-phase field models, phase transitions, thermodynamic consistency, partial differential inclusion, parabolic variational inequality, finite elements
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1814
Deposited By: Ekaterina Engel
Deposited On:19 Feb 2016 13:01
Last Modified:03 Mar 2017 14:42

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