@inproceedings{0cf7feee96114abfbc11997eca7d79bf,
title = "Crouzeix-raviart multiscale finite element method for Stokes flows in heterogeneous media",
abstract = "This paper addresses a non-conforming Multiscale Finite Element Method (MsFEM) for viscous incompressible flows in genuine heterogeneous media. The multiscale method relies upon the coupling of two grid scales: one coarse grid and one fine grid. The principe is to compute on the fine grid effective properties of the media in the form of basis functions, which are then used to solve problems on the coarse grid [1]. It's known that when computing multiscale basis functions, the approximation of boundary conditions on coarse element edges influences critically the accuracy of the MsFEM. Based on the work of [2], the weakly enforced conformity between coarse elements leads to a natural boundary condition on coarse element edges. This relaxes the sensitivity of the method to complex patterns of obstacles, without any need of oversampling techniques. Two methods have been developped and compared making use of a study of open flows in a heterogeneous domain.",
keywords = "Crouzeix- Raviart Element, Heterogeneous Media, Multiscale Finite Element Method, Stokes Flow",
author = "Q. Feng and G. Allaire and Puscas, \{M. A.\}",
note = "Publisher Copyright: Copyright {\textcopyright} Crown copyright (2018).All right reserved.; 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 ; Conference date: 11-06-2018 Through 15-06-2018",
year = "2020",
month = jan,
day = "1",
language = "English",
series = "Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018",
publisher = "International Centre for Numerical Methods in Engineering, CIMNE",
pages = "818--827",
editor = "Roger Owen and \{de Borst\}, Rene and Jason Reese and Chris Pearce",
booktitle = "Proceedings of the 6th European Conference on Computational Mechanics",
}