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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 Numerische Mathemati...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
Numerische Mathematik
Article . 1990 . Peer-reviewed
License: Springer 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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Article . 1990
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
Article
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https://dx.doi.org/10.1007/bf0...
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On an iterative method for variational inequalities

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1990 Germany English Publisher:Springer Science and Business Media LLCJournal:Numerische Mathematik, volume 58, pages 231-242 (issn: 0029-599X, eissn: 0945-3245, Copyright policy )
Authors: Pitonyak, A.; Shi, P.; Shillor, M.;

doi: 10.1007/bf01385622

On an iterative method for variational inequalities

Abstract

A number of numerical solutions are presented as examples of a new iterative method for variational inequalities. The iterative method is based on the reduction o variational inequalities to the Wiener-Hopf equations. For obstable problems the convergence is guaranteed in \(W^{1,p}\) spaces for \(p\geq 2\). The examples presented are one and two dimensional obstacle problems in cases where the Greens functions is known, but the method is very general.

Country
Germany
Related Organizations
Keywords

Numerical optimization and variational techniques, convergence, Wiener-Hopf equations, reduction, Greens function, Variational inequalities, Newton-type methods, Article, 510.mathematics, iterative method, obstacle problems, variational inequalities

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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!
23
Average
Top 10%
Average
Green