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- Publisher Website: 10.1007/s10915-016-0251-4
- Scopus: eid_2-s2.0-84982839400
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Article: On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations
Title | On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations |
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Authors | |
Keywords | Cahn–Hilliard Energy stable Large time stepping Second order Semi-implicit |
Issue Date | 2017 |
Citation | Journal of Scientific Computing, 2017, v. 70, n. 1, p. 301-341 How to Cite? |
Abstract | We consider several seconder order in time stabilized semi-implicit Fourier spectral schemes for 2D Cahn–Hilliard equations. We introduce new stabilization techniques and prove unconditional energy stability for modified energy functionals. We also carry out a comparative study of several classical stabilization schemes and identify the corresponding stability regions. In several cases the energy stability is proved under relaxed constraints on the size of the time steps. We do not impose any Lipschitz assumption on the nonlinearity. The error analysis is obtained under almost optimal regularity assumptions. |
Persistent Identifier | http://hdl.handle.net/10722/327114 |
ISSN | 2021 Impact Factor: 2.843 2020 SCImago Journal Rankings: 1.530 |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.contributor.author | Qiao, Zhonghua | - |
dc.date.accessioned | 2023-03-31T05:28:54Z | - |
dc.date.available | 2023-03-31T05:28:54Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Journal of Scientific Computing, 2017, v. 70, n. 1, p. 301-341 | - |
dc.identifier.issn | 0885-7474 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327114 | - |
dc.description.abstract | We consider several seconder order in time stabilized semi-implicit Fourier spectral schemes for 2D Cahn–Hilliard equations. We introduce new stabilization techniques and prove unconditional energy stability for modified energy functionals. We also carry out a comparative study of several classical stabilization schemes and identify the corresponding stability regions. In several cases the energy stability is proved under relaxed constraints on the size of the time steps. We do not impose any Lipschitz assumption on the nonlinearity. The error analysis is obtained under almost optimal regularity assumptions. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Scientific Computing | - |
dc.subject | Cahn–Hilliard | - |
dc.subject | Energy stable | - |
dc.subject | Large time stepping | - |
dc.subject | Second order | - |
dc.subject | Semi-implicit | - |
dc.title | On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s10915-016-0251-4 | - |
dc.identifier.scopus | eid_2-s2.0-84982839400 | - |
dc.identifier.volume | 70 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 301 | - |
dc.identifier.epage | 341 | - |