Study and Solution of the Ginzburg-Landau Equation for Superconductivity Problems

• Víctor Hernández Piñeiro ^[1] ; Víctor González Tabernero ^[1] ; Ana María Ferreiro Ferreiro ^[1]
  1. [1] Universidade da Coruña

     Universidade da Coruña

     A Coruña, España

     
• Localización: Proceedings XoveTIC 2024: Impulsando el talento científico / coord. por Manuel Lagos Rodríguez, Tirso Varela Rodeiro, Javier Pereira-Loureiro , Manuel Francisco González Penedo , 2024, págs. 47-54
• Idioma: inglés
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• Resumen

  • This work focuses on the study and numerical solution of the Ginzburg-Landau (hereafter referred to as GL) partial differential equation, which models the behavior of superconducting materials. Depending on its parameters, the Ginzburg-Landau model can exhibit chaotic states that are challenging to approximate numerically, requiring the use of high-order numerical schemes. In this work, the resolution of this model was addressed in both the 1D and 2D cases. In both cases, an IMEX-type method based on finite differences was used, which provided good results.