Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods Academic Article

abstract

• 2016 Elsevier Inc. In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related methods and is not intended to be comprehensive. We present a general adaptive multiscale model reduction framework, the Generalized Multiscale Finite Element Method. Besides the method's basic outline, we discuss some important ingredients needed for the method's success. We also discuss several applications. The proposed method allows performing local model reduction in the presence of high contrast and no scale separation.

authors

• Efendiev, Yalchin

published proceedings

• JOURNAL OF COMPUTATIONAL PHYSICS

altmetric score

• 0.25

author list (cited authors)

• Chung, E., Efendiev, Y., & Hou, T. Y.

citation count

• 127

complete list of authors

• Chung, Eric||Efendiev, Yalchin||Hou, Thomas Y

publication date

• September 2016

publisher

• Elsevier  Publisher

published in

• Journal of Computational Physics  Journal

keywords

• Heterogeneous Media
• Multiscale
• Multiscale Finite Element Method
• Numerical Homogenization
• Porous Media

Digital Object Identifier (DOI)

• 10.1016/j.jcp.2016.04.054

start page

• 69

end page

• 95

volume

• 320

URL

• http://dx.doi.org/10.1016/j.jcp.2016.04.054