Gräser, C. and Kahnt, M. and Kornhuber, R. (2016) Numerical approximation of multiphase PenroseFife systems. Computational Methods in Applied Mathematics, 16 (4). pp. 523542. ISSN Online: 16099389, Print: 16094840

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Official URL: http://dx.doi.org/10.1515/cmam20160020
Abstract
We consider a nonisothermal multiphase 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 multiphase field, and the other contains the inverse temperature field. We solve this saddle point problem numerically by a nonsmooth SchurNewton approach using truncated nonsmooth Newton multigrid methods. An application in grain growth as occurring in liquid phase crystallization of silicon is considered.
Item Type:  Article 

Uncontrolled Keywords:  Multiphase 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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