Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics

Type
Book Chapter

Authors
Efendiev, Yalchin R.
Presho, Michael

KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Numerical Porous Media SRI Center (NumPor)

Online Publication Date
2015-08-25

Print Publication Date
2015

Date
2015-08-25

Abstract
In this chapter, we discuss multiscale model reduction using Generalized Multiscale Finite Element Methods (GMsFEM) in a number of geomathematical applications. GMsFEM has been recently introduced (Efendiev et al. 2012) and applied to various problems. In the current chapter, we consider some of these applications and outline the basic methodological concepts.

Citation
Efendiev Y, Presho M (2015) Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics. Handbook of Geomathematics: 679–701. Available: http://dx.doi.org/10.1007/978-3-642-54551-1_68.

Publisher
Springer Nature

Journal
Handbook of Geomathematics

DOI
10.1007/978-3-642-54551-1_6810.1007/978-3-642-27793-1_68-2

Permanent link to this record
http://hdl.handle.net/10754/622223
Collections
Book Chapters
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division