Nonsmooth Schur-Newton methods for multicomponent Cahn-Hilliard systems

Graeser C, Kornhuber R, Sack U (2015)

Publication Type: Journal article

Publication year: 2015

Journal

IMA Journal of Numerical Analysis Oxford University Press (OUP): Policy A - Oxford Open Option A

Book Volume: 35

Pages Range: 652-679

Journal Issue: 2

DOI: 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 set-valued saddle-point problems 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.

Authors with CRIS profile

Carsten Gräser

Involved external institutions

Freie Universität Berlin DE Germany (DE)

How to cite

APA:

Graeser, C., Kornhuber, R., & Sack, U. (2015). Nonsmooth Schur-Newton methods for multicomponent Cahn-Hilliard systems. IMA Journal of Numerical Analysis, 35(2), 652-679. https://dx.doi.org/10.1093/imanum/dru014

MLA:

Graeser, Carsten, Ralf Kornhuber, and Uli Sack. "Nonsmooth Schur-Newton methods for multicomponent Cahn-Hilliard systems." IMA Journal of Numerical Analysis 35.2 (2015): 652-679.

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