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Title
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An optimal linear solver for the Jacobian system of the extreme type-II Ginzburg-Landau problem
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Author
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Abstract
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| This paper considers the extreme type-II GinzburgLandau equations, a nonlinear PDE model for describing the states of a wide range of superconductors. Based on properties of the Jacobian operator and an AMG strategy, a preconditioned NewtonKrylov method is constructed. After a finite-volume-type discretization, numerical experiments are done for representative two- and three-dimensional domains. Strong numerical evidence is provided that the number of Krylov iterations is independent of the dimension n of the solution space, yielding an overall solver complexity of O(n). |
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Language
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English
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Source (journal)
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Journal of computational physics. - New York
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Publication
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New York
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2013
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ISSN
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0021-9991
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Volume/pages
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234
(2013)
, p. 560-572
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ISI
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000311644900030
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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