Gräser, C. and Kornhuber, R. and Sack, U. (2015) Nonsmooth SchurNewton methods for multicomponent CahnHilliard systems. IMA Journal of Numerical Analysis, 35 (2). pp. 652679. ISSN 02724979

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Official URL: http://dx.doi.org/10.1093/imanum/dru014
Abstract
We present globally convergent nonsmooth Schur–Newton methods for the solution of discrete multicomponent Cahn–Hilliard systems with logarithmic and obstacle potentials. The method solves the nonlinear setvalued saddlepoint problems arising from discretization by implicit Euler methods in time and firstorder finite elements in space without regularization. Efficiency and robustness of the convergence speed for vanishing temperature is illustrated by numerical experiments.
Item Type:  Article 

Uncontrolled Keywords:  phase field models, variational inequalities, finite elements, convex minimization, descent methods, multigrid methods 
Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  1786 
Deposited By:  Ekaterina Engel 
Deposited On:  17 Feb 2016 09:22 
Last Modified:  03 Mar 2017 14:41 
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