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Preconditioning for vector-valued Cahn-Hilliard equations / Jessica Bosch, Martin Stoll
VerfasserBosch, Jessica ; Stoll, Martin
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, June 18, 2014
Umfang1 Online-Ressource (27 Seiten = 0,79 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 14-10
URNurn:nbn:de:gbv:3:2-64499 
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Preconditioning for vector-valued Cahn-Hilliard equations [0.79 mb]
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Abstract: The solution of vector-valued Cahn--Hilliard systems is of interest in many applications. We discuss strategies for the handling of smooth and nonsmooth potentials as well as for different types of constant mobilities. Concerning the nonsmooth systems the necessary bound constraints are incorporated via the Moreau--Yosida regularization technique. We develop effective preconditioners for the efficient solution of the linear systems in saddle point form. Numerical results illustrate the efficiency of our approach. In particular we numerically show mesh and phase independence of the developed preconditioner in the smooth case. The results in the nonsmooth case are also satisfying and the preconditioned version always outperforms the unpreconditioned one.