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dc.contributorVirginia Tech
dc.contributor.authorDu, Q.
dc.contributor.authorGunzburger, M. D.
dc.contributor.authorPeterson, J. S.
dc.date.accessioned2014-05-07T15:37:06Z
dc.date.available2014-05-07T15:37:06Z
dc.date.issued1992-10
dc.identifier.citationDu, Q.; Gunzburger, M. D.; Peterson, J. S., "Solving the Ginzburg-Landau equations by finite-element methods," Phys. Rev. B 46, 9027 DOI: http://dx.doi.org/10.1103/PhysRevB.46.9027
dc.identifier.issn0163-1829
dc.identifier.urihttp://hdl.handle.net/10919/47888
dc.description.abstractWe consider finite-element methods for the approximation of solutions of the Ginzburg-Landau equations of superconductivity. The methods are based on a discretization of the Euler-Lagrange equations resulting from the minimization of the free-energy functional. The discretization is effected by requiring the approximate solution to be a piecewise polynomial with respect to a grid. The magnetization versus magnetic field curves obtained through the finite-element methods agree well with analogous calculations obtained by other schemes. We demonstrate, both by analyzing the algorithms and through computational experiments, that finite-element methods can be very effective and efficient means for the computational simulation of superconductivity phenomena and therefore could be applied to determine macroscopic properties of inhomogeneous, anisotropic superconductors.
dc.language.isoen_US
dc.publisherAmerican Physical Society
dc.subjectii superconductors
dc.subjectphysics, condensed matter
dc.titleSolving the Ginzburg-Landau equations by finite-element methods
dc.typeArticle - Refereed
dc.identifier.urlhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.46.9027
dc.date.accessed2014-04-23
dc.title.serialPhysical Review B
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.46.9027


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