Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics

Yalchin Efendiev () and Michael Presho
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Yalchin Efendiev: Texas A&M University, Department of Mathematics, Institute for Scientific Computation (ISC)
Michael Presho: The University of Texas at Austin, The Institute for Computational Engineering and Sciences (ICES)

A chapter in Handbook of Geomathematics, 2015, pp 679-701 from Springer

Abstract: Abstract In this chapter, we discuss multiscale model reduction using Generalized Multiscale Finite Element Methods (GMsFEM) 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.

Keywords: Operator Matrix; Discontinuous Galerkin; Spectral Element Method; Coarse Space; Model Reduction Technique (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-54551-1_68

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DOI: 10.1007/978-3-642-54551-1_68

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