Repository: Freie Universit├Ąt Berlin, Math Department

Robust multigrid methods for vector-valued Allen-Cahn equations with logarithmic free energy

Kornhuber, R. and Krause, R. (2006) Robust multigrid methods for vector-valued Allen-Cahn equations with logarithmic free energy. Computing and Visualization in Science, 9 (2). pp. 103-116. ISSN 1432-9360

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Official URL: http://doi.org/10.1007/s00791-006-0020-2

Abstract

We present efficient and robust multigrid methods for the solution of large, nonlinear, non-smooth systems as resulting from implicit time discretization of vector-valued Allen-Cahn equations with isotropic interfacial energy and logarithmic potential. The algorithms are shown to be robust in the sense that convergence is preserved for arbitrary values of temperature, including the deep quench limit. Numerical experiments indicate that the convergence speed as well is independent of temperature.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1826
Deposited By: Ekaterina Engel
Deposited On:06 Mar 2016 12:32
Last Modified:03 Mar 2017 14:42

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