| Autor: |
Tomoyuki Suzuki, Keisuke Takasao, Noriaki Yamazaki |
| Jazyk: |
angličtina |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 1, Iss 3, Pp 288-317 (2016) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/Math.2016.3.288/fulltext.html |
| Popis: |
In a numerical study, we consider the Allen–Cahn equation with a double-obstacle constraint. The constraint is a multivalued function that is provided by the subdi erential of the indicator function on a closed interval. Therefore, performing a numerical simulation of our problem poses diffculties. We propose a new approximate method for the constraint and demonstrate its validity. Moreover, we present stability criteria for the standard forward Euler method guaranteeing stable numerical experiments when using the approximating equation. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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