Year: 2012
Author: L. Jiang, J. E. Aarnes, Y. Efendiev
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 1 : pp. 115–131
Abstract
In this paper, we present the analysis of recently introduced multiscale finite element methods that employ limited global information. In particular, these methods use single-phase flow information for the construction of more accurate solution for two-phase immiscible flow dynamics in heterogeneous porous media. We consider the analysis of Galerkin multiscale finite element method as well as mixed multiscale finite element method. Our analysis assumes that the fine-scale features of two-phase flow dynamics strongly depend on single-phase flow. Under this assumption, we present the analysis of multiscale finite element methods that use single-phase flow information. Numerical results are presented which demonstrate that MsFEM using limited global information is more accurate and converges as the coarse mesh size decreases.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-IJNAM-615
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 1 : pp. 115–131
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Galerkin multiscale finite element method mixed multiscale finite element method global information two-phase flows.