NUMERICAL SCHEMES FOR A THREE COMPONENT CAHN-HILLIARD MODEL
In this article, we investigate numerical schemes for solving a three component Cahn-Hilliard model. The space discretization is performed by using a Galerkin formulation and the finite element method. Concerning the time discretization, the main difficulty is to write a scheme ensuring, at the disc...
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| Veröffentlicht in: | ESAIM. Mathematical modelling and numerical analysis 2011-07, Vol.45 (4), p.697-738 |
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| container_title | ESAIM. Mathematical modelling and numerical analysis |
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| creator | BOYER, Franck MINJEAUD, Sebastian |
| description | In this article, we investigate numerical schemes for solving a three component Cahn-Hilliard model. The space discretization is performed by using a Galerkin formulation and the finite element method. Concerning the time discretization, the main difficulty is to write a scheme ensuring, at the discrete level, the decrease of the free energy and thus the stability of the method. We study three different schemes and prove existence and convergence theorems. Theoretical results are illustrated by various numerical examples showing that the new semi-implicit discretization that we propose seems to be a good compromise between robustness and accuracy. [PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1051/m2an/2010072 |
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| ispartof | ESAIM. Mathematical modelling and numerical analysis, 2011-07, Vol.45 (4), p.697-738 |
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| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection; NUMDAM |
| subjects | Boundary conditions Convergence Discretization Energy Exact sciences and technology Finite element analysis Free energy Galerkin methods Interfaces Mathematical analysis Mathematical models Mathematics Numerical Analysis Robustness Sciences and techniques of general use Theorems |
| title | NUMERICAL SCHEMES FOR A THREE COMPONENT CAHN-HILLIARD MODEL |
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