Truncated Nonsmooth Newton Multigrid Methods for Simplex-Constrained Minimization Problems

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Contributors

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 multi-component phase-field problems. Our algorithm is globally convergent, requires no regularization parameters, and achieves multigrid convergence rates. We present numerical results for the vector-valued Allen–Cahn equation and observe that the con- vergence rate is independent from the temperature parameter and the number of components.

Details

Original languageEnglish
PublisherRTWH Aachen
Number of pages15
Volume384
Publication statusPublished - 2014

External IDs

ORCID /0000-0003-1093-6374/work/165454275