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Numerical multiscale methods
Author(s) -
Coutinho A.L.G.A.,
Franca L.P.,
Valentin F.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2727
Subject(s) - piecewise linear function , numerical analysis , scale (ratio) , class (philosophy) , mathematics , piecewise , computer science , mathematical optimization , mathematical analysis , physics , artificial intelligence , quantum mechanics
SUMMARY We restrict the variational multiscale method to a class of methods we denote by numerical multiscale methods. Numerical multiscale methods are methods obtained by enriching the piecewise linear functions with special local functions. The enrichment provides additional stabilization via terms obtained by static condensation. The resulting methods are improvements of the coarse scale solutions by the approximations of the fine scales emanating from the enrichments.Copyright © 2011 John Wiley & Sons, Ltd.