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A stable finite difference method for a Cahn-Hilliard type equation with long-range interaction
https://doi.org/10.24517/00011113
https://doi.org/10.24517/0001111322e15e3d-d466-4125-a39c-86b09afab929
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
AA00835991_57-13-34.pdf (1.3 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2017-10-03 | |||||
| タイトル | ||||||
| タイトル | A stable finite difference method for a Cahn-Hilliard type equation with long-range interaction | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Cahn-Hilliard type equation | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | nonlocal free energy | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | discrete variational derivative method | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | conservative numerical schemes | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| ID登録 | ||||||
| ID登録 | 10.24517/00011113 | |||||
| ID登録タイプ | JaLC | |||||
| 著者 |
Matsuoka, Hikaru
× Matsuoka, Hikaru× Nakamura, Ken-Ichi |
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| 著者別表示 |
中村, 健一
× 中村, 健一 |
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| 書誌情報 |
The science reports of the Kanazawa University = 金沢大学理科報告 巻 57, p. 13-34, 発行日 2013-01-01 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0022-8338 | |||||
| NCID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00835991 | |||||
| 出版者 | ||||||
| 出版者 | Institute of Science and Engineering, Kanazawa University = 金沢大学 | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We propose a stable numerical scheme for a Cahn-Hilliard type equation with long-range interaction describing the micro-phase separation of diblock copolymer melts. The scheme is designed by using the discrete variational derivative method, one of structure preserving numerical methods. The derivation of the discrete variational derivative of a discretized energy functional is simplified by using a suitable discrete L2 space and fractional powers of a discrete approximation of the Laplace operator. The proposed scheme has the same characteristic properties, mass conservation and energy dissipation, as the original equation does. We also discuss the stability and unique solvability of the scheme. | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Mathematics Subject Classification (2010) : Primary 65M06; Secondary 35K35 | |||||
| 著者版フラグ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
