Numerical approximation of multi-phase Penrose-Fife systems
Numerical Analysis
2016-05-13 v1
Abstract
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.
Cite
@article{arxiv.1605.03881,
title = {Numerical approximation of multi-phase Penrose-Fife systems},
author = {Carsten Gräser and Max Kahnt and Ralf Kornhuber},
journal= {arXiv preprint arXiv:1605.03881},
year = {2016}
}