Numerical Approximation of Multi-Phase Penrose-Fife Systems

Gräser C, Kahnt M, Kornhuber R (2016)

Publication Type: Journal article

Publication year: 2016

Journal

Computational Methods in Applied Mathematics Walter de Gruyter / Institute of Mathematics of the National Academy of Sciences of Belarus

Book Volume: 16

Pages Range: 523-542

Journal Issue: 4

DOI: 10.1515/cmam-2016-0020

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.

Authors with CRIS profile

Carsten Gräser

Involved external institutions

Freie Universität Berlin DE Germany (DE)

How to cite

APA:

Gräser, C., Kahnt, M., & Kornhuber, R. (2016). Numerical Approximation of Multi-Phase Penrose-Fife Systems. Computational Methods in Applied Mathematics, 16(4), 523-542. https://doi.org/10.1515/cmam-2016-0020

MLA:

Gräser, Carsten, Max Kahnt, and Ralf Kornhuber. "Numerical Approximation of Multi-Phase Penrose-Fife Systems." Computational Methods in Applied Mathematics 16.4 (2016): 523-542.

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