KMS Of Academy of mathematics and systems sciences, CAS
| An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow | |
| Wang, Lin1; Yu, Haijun2,3,4 | |
| 2020-10-15 | |
| Source Publication | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| ISSN | 0377-0427 |
| Volume | 377Pages:26 |
| Abstract | We propose and analyze a linearly stabilized semi-implicit diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow. In this scheme, the nonlinear bulk force is treated explicitly with two second-order stabilization terms. This treatment leads to linear elliptic system with constant coefficients and provable discrete energy dissipation. Rigorous error analysis is carried out for the fully discrete scheme. When the time step-size and the space step-size are small enough, second order accuracy in time is obtained with a prefactor controlled by some lower degree polynomial of 1/epsilon. Here epsilon is the thickness of the interface. Numerical results together with an adaptive time stepping are presented to verify the accuracy and efficiency of the proposed scheme. (C) 2020 Elsevier B.V. All rights reserved. |
| Keyword | Cahn-Hilliard gradient flow Unconditionally stable Stabilized semi-implicit scheme Diffusive Crank-Nicolson scheme Error analysis Adaptive time stepping |
| DOI | 10.1016/j.cam.2020.112880 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NNSFC, China[11771439] ; NNSFC, China[91852116] ; China National Program on Key Basic Research Project[2015CB856003] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000530196900003 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51452 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Wang, Lin |
| Affiliation | 1.Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China 2.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, Lin,Yu, Haijun. An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2020,377:26. |
| APA | Wang, Lin,&Yu, Haijun.(2020).An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,377,26. |
| MLA | Wang, Lin,et al."An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 377(2020):26. |
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