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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| Format: | Article |
| 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 |
| _version_ | 1828079975836680192 |
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| author | Nabet Flore |
| author_facet | Nabet Flore |
| author_sort | Nabet Flore |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T03:10:53Z |
| format | Article |
| id | doaj.art-a635e5e3f7c849a7bd55701eeb9342b8 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T03:10:53Z |
| publishDate | 2014-09-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-a635e5e3f7c849a7bd55701eeb9342b82023-01-02T11:53:58ZengEDP 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 |
| spellingShingle | Nabet Flore Finite-volume method for the Cahn-Hilliard equation with dynamic boundary conditions ESAIM: Proceedings and Surveys |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1051/proc/201445052 |
| work_keys_str_mv | AT nabetflore finitevolumemethodforthecahnhilliardequationwithdynamicboundaryconditions |