Finite-volume method for the Cahn-Hilliard equation with dynamic boundary conditions
A numerical scheme is proposed here to solve a diphasic Cahn-Hilliard equation with dynamic boundary conditions. A finite-volume method is implemented for the space discretization and existence and convergence results are proved. Numerical simulations are also presented...
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| Language: | English |
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EDP Sciences
2014-09-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201445052 |
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doaj-a635e5e3f7c849a7bd55701eeb9342b82021-07-15T14:07:21ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592014-09-014550251110.1051/proc/201445052proc144552Finite-volume method for the Cahn-Hilliard equation with dynamic boundary conditionsNabet Flore0Aix-Marseille Université, CNRS, Centrale Marseille, LATPA numerical scheme is proposed here to solve a diphasic Cahn-Hilliard equation with dynamic boundary conditions. A finite-volume method is implemented for the space discretization and existence and convergence results are proved. Numerical simulations are also presented that show the influence of these boundary conditions.http://dx.doi.org/10.1051/proc/201445052 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nabet Flore |
| spellingShingle |
Nabet Flore Finite-volume method for the Cahn-Hilliard equation with dynamic boundary conditions ESAIM: Proceedings and Surveys |
| author_facet |
Nabet Flore |
| author_sort |
Nabet Flore |
| title |
Finite-volume method for the Cahn-Hilliard equation with dynamic boundary
conditions |
| title_short |
Finite-volume method for the Cahn-Hilliard equation with dynamic boundary
conditions |
| title_full |
Finite-volume method for the Cahn-Hilliard equation with dynamic boundary
conditions |
| title_fullStr |
Finite-volume method for the Cahn-Hilliard equation with dynamic boundary
conditions |
| title_full_unstemmed |
Finite-volume method for the Cahn-Hilliard equation with dynamic boundary
conditions |
| title_sort |
finite-volume method for the cahn-hilliard equation with dynamic boundary
conditions |
| publisher |
EDP Sciences |
| series |
ESAIM: Proceedings and Surveys |
| issn |
2267-3059 |
| publishDate |
2014-09-01 |
| description |
A numerical scheme is proposed here to solve a diphasic Cahn-Hilliard equation with
dynamic boundary conditions. A finite-volume method is implemented for the space
discretization and existence and convergence results are proved. Numerical simulations are
also presented that show the influence of these boundary conditions. |
| url |
http://dx.doi.org/10.1051/proc/201445052 |
| work_keys_str_mv |
AT nabetflore finitevolumemethodforthecahnhilliardequationwithdynamicboundaryconditions |
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