Title:
Nonsmooth Schur-Newton methods for vector-valued Cahn-Hilliard equations
Author(s):
Gräser, Carsten; Kornhuber, Ralf; Sack, Uli
Year of publication:
2013
Available Date:
2014-07-16T09:15:41.408Z
Abstract:
We present globally convergent nonsmooth Schur-Newton methods for the solution
of discrete vector-valued Cahn-Hilliard equations with logarithmic and
obstacle potentials. The method solves the nonlinear set-valued saddle-point
problems as arising from discretization by implicit Euler methods in time and
first order finite elements in space without regularization. Efficiency and
robustness of the convergence speed for vanishing temperature is illustrated
by numerical experiments.
Keywords:
phase field models
variational inequalities
finite elements
convex minimization
descent methods
multigrid methods
DDC-Classification:
510 Mathematik
Publication Type:
Preprint
Department/institution:
Mathematik und Informatik
Institut für Mathematik
Series:
Freie Universität Berlin, Fachbereich Mathematik und Informatik
Series Number:
Preprints, Serie A: Mathematik