Palabras clave
mixed virtual element method
high-order approximations
computational implementation
modelo de Brinkman
método mixto de elementos virtuales
aproximaciones de alto orden
implementación computacional
Cómo citar
Resumen
En este artículo se describen algunos aspectos específicos sobre una implementación computacional para la formulación mixta de elementos virtuales (mixed-VEM, por sus siglas en inglés) del problema lineal de Brinkman en dos dimensiones, con condiciones de frontera de Dirichlet no homogéneas. La formulación empleada fue originalmente propuesta y analizada en CÁCERES, E., GATICA, G.N. AND SEQUEIRA, F.A., A mixed virtual element method for the Brinkman problem. Math. Models Methods Appl. Sci. 27 (2017), no. 4, 707–743. La implementación planteada aquí considera cualquier grado polinomial k >= 0 de manera natural al construir diversas matrices locales de bajo tamaño. Además, se propone un algoritmo para el ensamblaje del sistema lineal global asociado, que garantiza la continuidad de la componente normal en la solución discreta.
Citas
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