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Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics

In: Handbook of Geomathematics

Author

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  • Yalchin Efendiev

    (Texas A&M University, Department of Mathematics, Institute for Scientific Computation (ISC)
    King Abdullah University of Science and Technology (KAUST), Numerical Porous Media SRI Center)

  • Michael Presho

    (The University of Texas at Austin, The Institute for Computational Engineering and Sciences (ICES))

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.

Suggested Citation

  • Yalchin Efendiev & Michael Presho, 2015. "Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics," Springer Books, in: Willi Freeden & M. Zuhair Nashed & Thomas Sonar (ed.), Handbook of Geomathematics, edition 2, pages 679-701, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-54551-1_68
    DOI: 10.1007/978-3-642-54551-1_68
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