Kornhuber, R. and Krause, R. (2006) Robust multigrid methods for vectorvalued AllenCahn equations with logarithmic free energy. Computing and Visualization in Science, 9 (2). pp. 103116. ISSN 14329360

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Official URL: http://doi.org/10.1007/s0079100600202
Abstract
We present efficient and robust multigrid methods for the solution of large, nonlinear, nonsmooth systems as resulting from implicit time discretization of vectorvalued AllenCahn 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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