An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media

In this paper an expanded mixed formulation is introduced to solve the two dimensional space fractional Darcy flow in porous media. By introducing an auxiliary vector, we derive a new mixed formulation and the well-possedness of the formulation can be established. Then the locally mass-conservative...

Descripción completa

Detalles Bibliográficos
Autores principales: Chen, Huangxin, Sun, Shuyu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7304701/
http://dx.doi.org/10.1007/978-3-030-50436-6_15
Descripción
Sumario:In this paper an expanded mixed formulation is introduced to solve the two dimensional space fractional Darcy flow in porous media. By introducing an auxiliary vector, we derive a new mixed formulation and the well-possedness of the formulation can be established. Then the locally mass-conservative expanded mixed finite element method is applied for the solution. Numerical results are shown to verify the efficiency of the proposed algorithm.

Ejemplares similares