We introduced two methods to discretize the Ginzburg-Landau equations with the help of link variables. With these equations, we build models to simulate the mixed state of type-II superconductivity. We successfully get Abrikosov vortices by solving both in 2D cases and 3D cases. This tells us that our discretization method and our programs work well and can be used to study the phenomenon of superconductivity.
","abstract_html":"<p>We introduced two methods to discretize the Ginzburg-Landau equations with the help of link variables. With these equations, we build models to simulate the mixed state of type-II superconductivity. We successfully get Abrikosov vortices by solving both in 2D cases and 3D cases. This tells us that our discretization method and our programs work well and can be used to study the phenomenon of superconductivity.</p>","abstract_has_math":false,"creators":["Liu, Baowei"],"institution":null,"degree_name":"MS","degree_level":"Campus Access Thesis","degree_discipline":"Physics and Astronomy","degree_department":null,"school":null,"contributors":["Richard J. Creswick"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009-01-01T08:00:00Z","date_published":"2009-01-01T08:00:00Z","updated_at":"2026-07-24T04:36:43Z","subjects":["Physical Sciences and Mathematics","Physics"],"languages":[],"rights":["© 2009, Baowei Liu"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarcommons.sc.edu/etd/60","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Richard J. Creswick"]},{"key":"dc:creator","label":"Author","values":["Liu, Baowei"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics and Astronomy"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Campus Access Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physical Sciences and Mathematics","Physics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["© 2009, Baowei Liu"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarcommons.sc.edu/etd/60"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We introduced two methods to discretize the Ginzburg-Landau equations with the help of link variables. With these equations, we build models to simulate the mixed state of type-II superconductivity. We successfully get Abrikosov vortices by solving both in 2D cases and 3D cases. This tells us that our discretization method and our programs work well and can be used to study the phenomenon of superconductivity.
"]},{"key":"dc:title","label":"Title","values":["Numerical Simulation of Ginzburg-Landau Equations"]}]}],"canonical_facts":{"dc:contributor":["Richard J. Creswick"],"dc:creator":["Liu, Baowei"],"dc:description.abstract":["We introduced two methods to discretize the Ginzburg-Landau equations with the help of link variables. With these equations, we build models to simulate the mixed state of type-II superconductivity. We successfully get Abrikosov vortices by solving both in 2D cases and 3D cases. This tells us that our discretization method and our programs work well and can be used to study the phenomenon of superconductivity.
"],"dc:identifier":["https://scholarcommons.sc.edu/etd/60"],"dc:rights":["© 2009, Baowei Liu"],"dc:subject":["Physical Sciences and Mathematics","Physics"],"dc:title":["Numerical Simulation of Ginzburg-Landau Equations"],"thesis:degree_discipline":["Physics and Astronomy"],"thesis:degree_level":["Campus Access Thesis"],"thesis:degree_name":["MS"]},"updated_at":"2026-07-24T04:36:43Z"}