Variational and Heterogeneous Multiscale Methods

Jan Martin Nordbotten ()
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Jan Martin Nordbotten: University of Bergen, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 713-720 from Springer

Abstract: Abstract Both the variational and heterogeneous multiscale methods are presented for non-linear variational problems. We show that the variational multiscale method can be seen as a subset of the methods which can be defined within the heterogeneous multiscale method framework. Our results extend to the approximate forms of the multiscale methods which are of interest to applications.

Keywords: Coarse Scale; Multiscale Method; Reconstruction Operator; Generalize Finite Element Method; Variational Multiscale Method (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_76

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DOI: 10.1007/978-3-642-11795-4_76

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