On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation
文献类型：期刊论文
| 作者 | Wang, Lin1,2; Yu, Haijun1,2
|
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2018-11-01 |
| 卷号 | 77期号:2页码:1185-1209 |
| 关键词 | Phase field model Cahn-Hilliard equation Energy stable Stabilized semi-implicit scheme Second order time marching |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-018-0746-2 |
| 英文摘要 | Efficient and energy stable high order time marching schemes are very important but not easy to construct for the study of nonlinear phase dynamics. In this paper, we propose and study two linearly stabilized second order semi-implicit schemes for the Cahn-Hilliard phase-field equation. One uses backward differentiation formula and the other uses Crank-Nicolson method to discretize linear terms. In both schemes, the nonlinear bulk forces are treated explicitly with two second-order stabilization terms. This treatment leads to linear elliptic systems with constant coefficients, for which lots of robust and efficient solvers are available. The discrete energy dissipation properties are proved for both schemes. Rigorous error analysis is carried out to show that, when the time step-size is small enough, second order accuracy in time is obtained with a prefactor controlled by a fixed power of , where is the characteristic interface thickness. Numerical results are presented to verify the accuracy and efficiency of proposed schemes. |
| 资助项目 | NNSFC[11771439] ; NNSFC[11371358] ; NNSFC[91530322] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000446594600022 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31453]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Yu, Haijun |
| 作者单位 | 1.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS & LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Lin,Yu, Haijun. On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation[J]. JOURNAL OF SCIENTIFIC COMPUTING,2018,77(2):1185-1209. |
| APA | Wang, Lin,&Yu, Haijun.(2018).On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation.JOURNAL OF SCIENTIFIC COMPUTING,77(2),1185-1209. |
| MLA | Wang, Lin,et al."On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation".JOURNAL OF SCIENTIFIC COMPUTING 77.2(2018):1185-1209. |
入库方式： OAI收割
来源：数学与系统科学研究院
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