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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Comptes Rendus de l ...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Comptes Rendus de l Académie des Sciences - Series I - Mathematics
Article . 1999 . Peer-reviewed
License: Elsevier TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Bounds evaluation for outputs of eigenvalue problems approximated by the overlapping modal synthesis method

Authors: Charpentier, Isabelle; Maday, Yvon; Patera, Anthony T.;

Bounds evaluation for outputs of eigenvalue problems approximated by the overlapping modal synthesis method

Abstract

Summary: We propose a method for the computation of upper and lower bounds for outputs of eigenvalue problems discretized by the overlapping modal synthesis method. A brief analysis of the method is illustrated by numerical results. This approach should prove most useful for computations over large structures, in which the best, or even sufficient, choice of modes is not apparent a priori.

Keywords

Numerical methods for eigenvalue problems for boundary value problems involving PDEs, eigenvalue problems, upper and lower bounds, Estimates of eigenvalues in context of PDEs, numerical results, overlapping modal synthesis method

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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