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espanolEn este articulo se describen algunos aspectos especificos sobre una implementacion computacional para la formulacion mixta de elementos virtuales (mixed-VEM, por sus siglas en ingles) del problema lineal de Brinkman en dos dimensiones, con condiciones de frontera de Dirichlet no homogeneas. La formulacion empleada fue originalmente propuesta y analizada en CACERES, 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 implementacion planteada aqui considera cualquier grado polinomial k >= 0 de manera natural al construir diversas matrices locales de bajo tamano. Ademas, se propone un algoritmo para el ensamblaje del sistema lineal global asociado, que garantiza la continuidad de la componente normal en la solucion discreta. EnglishIn this paper we describe some specific aspects on the computational implementation of the a mixed virtual element method (mixed-VEM) for the two-dimensional linear Brinkman model with non-homogeneous Dirichlet boundary conditions. The formulation used below was originally proposed and analysed in CACERES, 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. The implementation presented here consider any polynomial degree k >= 0 in a natural way by building several local matrices of small size. In addition, an algorithm is proposed for the assembly of the associated global linear system, which guarantees the continuity of the normal component in the discrete solution.

A computational implementation of the mixed-VEM method for the brinkman problem in 2D