A Crank-Nicolson scheme for the Landau-Lifshitz equation without damping
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jeong, Darae | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-08T03:05:31Z | - |
dc.date.available | 2021-09-08T03:05:31Z | - |
dc.date.created | 2021-06-11 | - |
dc.date.issued | 2010-05-15 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/116446 | - |
dc.description.abstract | An accurate and efficient numerical approach, based on a finite difference method with Crank-Nicolson time stepping, is proposed for the Landau-Lifshitz equation without damping. The phenomenological Landau-Lifshitz equation describes the dynamics of ferromagnetism. The Crank-Nicolson method is very popular in the numerical schemes for parabolic equations since it is second-order accurate in time. Although widely used, the method does not always produce accurate results when it is applied to the Landau-Lifshitz equation. The objective of this article is to enumerate the problems and then to propose an accurate and robust numerical solution algorithm. A discrete scheme and a numerical solution algorithm for the Landau-Lifshitz equation are described. A nonlinear multigrid method is used for handling the nonlinearities of the resulting discrete system of equations at each time step. We show numerically that the proposed scheme has a second-order convergence in space and time. (C) 2010 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | MICROMAGNETISM | - |
dc.subject | SIMULATIONS | - |
dc.subject | NUMERICS | - |
dc.subject | TAPE | - |
dc.title | A Crank-Nicolson scheme for the Landau-Lifshitz equation without damping | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.cam.2010.01.002 | - |
dc.identifier.scopusid | 2-s2.0-77649272554 | - |
dc.identifier.wosid | 000276790000024 | - |
dc.identifier.bibliographicCitation | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.234, no.2, pp.613 - 623 | - |
dc.relation.isPartOf | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | - |
dc.citation.title | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | - |
dc.citation.volume | 234 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 613 | - |
dc.citation.endPage | 623 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | MICROMAGNETISM | - |
dc.subject.keywordPlus | SIMULATIONS | - |
dc.subject.keywordPlus | NUMERICS | - |
dc.subject.keywordPlus | TAPE | - |
dc.subject.keywordAuthor | Landau-Lifshitz equation | - |
dc.subject.keywordAuthor | Crank-Nicolson | - |
dc.subject.keywordAuthor | Finite difference method | - |
dc.subject.keywordAuthor | Nonlinear multigrid method | - |
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