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Article: On the stabilization size of semi-implicit fourier-spectral methods for 3D Cahn-Hilliard equations
Title | On the stabilization size of semi-implicit fourier-spectral methods for 3D Cahn-Hilliard equations |
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Authors | |
Keywords | Cahn-Hilliard Energy stable Large time stepping Semi-implicit |
Issue Date | 2017 |
Citation | Communications in Mathematical Sciences, 2017, v. 15, n. 6, p. 1489-1506 How to Cite? |
Abstract | The stabilized semi-implicit time-stepping method is an efficient algorithm to simulate phased field problems with fourth order dissipation. We consider the 3D Cahn-Hilliard equation and prove unconditional energy stability of the corresponding stabilized semi-implicit Fourier spectral scheme independent of the time step. We do not impose any Lipschitz-type assumption on the nonlinearity. It is shown that the size of the stabilization term depends only on the initial data and the diffusion coefficient. Unconditional Sobolev bounds of the numerical solution are obtained and the corresponding error analysis under nearly optimal regularity assumptions is established. |
Persistent Identifier | http://hdl.handle.net/10722/327150 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.756 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.contributor.author | Qiao, Zhonghua | - |
dc.date.accessioned | 2023-03-31T05:29:18Z | - |
dc.date.available | 2023-03-31T05:29:18Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Communications in Mathematical Sciences, 2017, v. 15, n. 6, p. 1489-1506 | - |
dc.identifier.issn | 1539-6746 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327150 | - |
dc.description.abstract | The stabilized semi-implicit time-stepping method is an efficient algorithm to simulate phased field problems with fourth order dissipation. We consider the 3D Cahn-Hilliard equation and prove unconditional energy stability of the corresponding stabilized semi-implicit Fourier spectral scheme independent of the time step. We do not impose any Lipschitz-type assumption on the nonlinearity. It is shown that the size of the stabilization term depends only on the initial data and the diffusion coefficient. Unconditional Sobolev bounds of the numerical solution are obtained and the corresponding error analysis under nearly optimal regularity assumptions is established. | - |
dc.language | eng | - |
dc.relation.ispartof | Communications in Mathematical Sciences | - |
dc.subject | Cahn-Hilliard | - |
dc.subject | Energy stable | - |
dc.subject | Large time stepping | - |
dc.subject | Semi-implicit | - |
dc.title | On the stabilization size of semi-implicit fourier-spectral methods for 3D Cahn-Hilliard equations | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.4310/CMS.2017.v15.n6.a1 | - |
dc.identifier.scopus | eid_2-s2.0-85021344288 | - |
dc.identifier.volume | 15 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | 1489 | - |
dc.identifier.epage | 1506 | - |
dc.identifier.eissn | 1945-0796 | - |
dc.identifier.isi | WOS:000405644300001 | - |