Estimación de errores y adaptatividad en Diferencias Miméticas para un problema de tipo parabólico

  • Giovanni Calderón Universidad de Los Andes
  • Julio Cesar Carrillo Universidad Industrial de Santander
  • Jorge Villamizar Universidad Industrial de Santander
  • Carlos Torres Universidad de Los Andes
  • José E. Castillo San Diego State University

Resumen

En este artículo, se presenta un proceso h-adaptativo que define una malla óptima para calcular la solución de problemas de contorno parabólicos usando el método de Diferencias Miméticas. La estimación del error, en la variable espacial, se hace a partir de la versión discreta del operador gradiente. La experimentación numérica evidencia el buen comportamiento del procedimiento.

Palabras clave: diferencias miméticas, adaptatividad, estimación de error, métodos conservativos

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Publicado
2019-07-24