Truncated Nonsmooth Newton Multigrid Methods for Simplex-Constrained Minimization Problems
Research output: Preprint/Documentation/Report › Preprint
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 language | English |
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Publisher | RTWH Aachen |
Number of pages | 15 |
Volume | 384 |
Publication status | Published - 2014 |
External IDs
ORCID | /0000-0003-1093-6374/work/165454275 |
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