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Generalized multiscale approximation of a multipoint flux mixed finite element method for Darcy-Forchheimer model
[article]
2020
arXiv
pre-print
In this paper, we propose a multiscale method for the Darcy-Forchheimer model in highly heterogeneous porous media. The problem is solved in the framework of generalized multiscale finite element methods (GMsFEM) combined with a multipoint flux mixed finite element (MFMFE) method. appropriate mixed finite element spaces and suitable quadrature rules are employed, which allow for local velocity elimination and lead to a cell-centered system for the pressure. We consider the MFMFE method that
arXiv:2007.08942v1
fatcat:opanrqhir5cn3l23vtautmokg4