Gräser, C. and Sander, O. (2014) Truncated nonsmooth Newton multigrid methods for simplexconstrained minimization problems. Preprint 384, IGPM Aachen . (Submitted)

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Official URL: https://www.rwthaachen.de/go/id/doec/file/230298
Abstract
We present a multigrid method for the minimization of strongly convex functionals defined on a finite product of simplices. Such problems result, for example, from the discretization of multicomponent phasefield problems. Our algorithm is globally convergent, requires no regularization parameters, and achieves multigrid convergence rates. We present numerical results for the vectorvalued AllenCahn equation and observe that the convergence rate is independent from the temperature parameter and the number of components.
Item Type:  Article 

Subjects:  Mathematical and Computer Sciences > Mathematics > Numerical Analysis 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  1823 
Deposited By:  Ekaterina Engel 
Deposited On:  06 Mar 2016 12:29 
Last Modified:  03 Mar 2017 14:42 
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