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SIAM Journal on Numerical Analysis
Article . 1987 . Peer-reviewed
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On Continuation for Variational Inequalities

On continuation for variational inequalities
Authors: Hans D. Mittelmann;

On Continuation for Variational Inequalities

Abstract

A predictor-corrector type method for the continuation along solution branches of nonlinear variational inequalities of the form \(a(u_ 0,u- u_ 0)\geq \lambda_ 0(F(u_ 0),u-u_ 0)\) is presented. On the basis of recent analytical results and previous work of the author this method is proposed for a class of obstacle problems. Numerical results are given.

Related Organizations
Keywords

Numerical optimization and variational techniques, Bratu problem, numerical examples, Discrete approximations in optimal control, solution branches, predictor-corrector method, obstacle problems, nonlinear variational inequalities, Variational inequalities, fold points, continuation

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citations
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!
10
Average
Top 10%
Top 10%
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