Solving the Ginzburg-Landau equations by finite-element methods

Simple item page
dc.contributorVirginia Techen
dc.contributor.authorDu, Q.en
dc.contributor.authorGunzburger, Max D.en
dc.contributor.authorPeterson, Janet S.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-04-23en
dc.date.accessioned2014-05-07T15:37:06Zen
dc.date.available2014-05-07T15:37:06Zen
dc.date.issued1992-10en
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.en
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.46.9027en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.46.9027en
dc.identifier.issn0163-1829en
dc.identifier.urihttp://hdl.handle.net/10919/47888en
dc.identifier.urlhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.46.9027en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectii superconductorsen
dc.subjectphysics, condensed matteren
dc.titleSolving the Ginzburg-Landau equations by finite-element methodsen
dc.title.serialPhysical Review Ben
dc.typeArticle - Refereeden

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
PhysRevB.46.9027.pdf
Size:
388.2 KB
Format:
Adobe Portable Document Format
Description:
Main article
Download

Collections

Scholarly Works, Mathematics