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A Constructive Method for Finding Critical Point of the Ginzburg-Landau Energy Functional

In this work I present a constructive method for finding critical points of the Ginzburg-Landau energy functional using the method of Sobolev gradients. I give a description of the construction of the Sobolev gradient and obtain convergence results for continuous steepest descent with this gradient. I study the Ginzburg-Landau functional with magnetic field and the Ginzburg-Landau functional without magnetic field. I then present the numerical results I obtained by using steepest descent with the discretized Sobolev gradient.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc9075
Date08 1900
CreatorsKazemi, Parimah
ContributorsNeuberger, John W., Renka, Robert J., Betelu, Santiago
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
FormatText
RightsPublic, Copyright, Kazemi, Parimah, Copyright is held by the author, unless otherwise noted. All rights reserved.

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