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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 115-131 |
| Number of pages | 17 |
| Journal | International Journal of Numerical Analysis and Modeling |
| Volume | 9 |
| Issue number | 1 |
| State | Published - 2012 |
Bibliographical note
KAUST Repository Item: Exported on 2021-09-17Acknowledged KAUST grant number(s): KUS-CI-016-04
Acknowledgements: L. Jiang would like to acknowledge a support from Chinese NSF 10901050. J. E. Aarnes was funded by the Research Council of Norway under grant no. 158908/I30. Y. Efendiev would like to acknowledge a partial support from NSF grants DMS0327713 and DOE grant DE-FG02-05ER25669. Efendiev’s work was also partially supported by Award Number KUS-CI-016-04, made by King Abdullah University
of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
Keywords
- Galerkin multiscale finite element method
- Global information
- Mixed multiscale finite element method
- Two-phase flows
ASJC Scopus subject areas
- Numerical Analysis