Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics
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Springer-Verlag Berlin Heidelberg 2010, 2015. All rights are reserved. 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.