<div class="csl-bib-body">
<div class="csl-entry">Banas, L., Page, M., & Praetorius, D. (2015). A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations. <i>ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS</i>, <i>44</i>, 250–270. https://doi.org/10.48550/arXiv.1303.4009</div>
</div>
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dc.identifier.issn
1068-9613
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/150550
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dc.description.abstract
Abstract. We consider a lowest-order nite element discretization of the nonlinear system of Maxwell's and Landau-Lifshitz-Gilbert equations (MLLG). Two algorithms are proposed to numerically solve this problem, both of which only require the solution of at most two
linear systems per timestep. One of the algorithms is fully decoupled in the sense that each timestep consists of the sequential computation of the magnetization and afterwards the magnetic and electric eld. Under some mild assumptions on the e ective eld, we show
that both algorithms converge towards weak solutions of the MLLG system. Numerical experiments for a micromagnetic benchmark problem demonstrate the performance of the proposed algorithms.
en
dc.language.iso
en
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dc.publisher
KENT STATE UNIVERSITY
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dc.relation.ispartof
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS
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dc.subject
Applied Mathematics
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dc.subject
Computational Mathematics
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dc.subject
Numerical Analysis
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dc.subject
linear scheme
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dc.subject
ferromagnetism
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dc.subject
convergence.
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dc.subject
Maxwell-LLG
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dc.title
A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
250
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dc.description.endpage
270
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dc.type.category
Original Research Article
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tuw.container.volume
44
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
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tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS
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tuw.publication.orgunit
E101-02 - Forschungsbereich Numerik
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tuw.publisher.doi
10.48550/arXiv.1303.4009
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dc.identifier.eissn
1068-9613
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dc.description.numberOfPages
21
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wb.sci
true
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.facultyfocus
Analysis und Scientific Computing
de
wb.facultyfocus
Analysis and Scientific Computing
en
wb.facultyfocus.faculty
E100
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Artikel
-
item.openairetype
Article
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Publications
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Publications
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item.languageiso639-1
en
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none
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http://purl.org/coar/resource_type/c_18cf
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http://purl.org/coar/resource_type/c_18cf
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item.fulltext
no Fulltext
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing